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SECOND QUARTER’s
PERFORMANCE TASK:
SPECIAL PRODUCTS
ICL: Showcase of Solution and Final Answer
Group Name: Factoring
Second Quarter Grade 8 Mathematics Performance Task Special Products 2
JUSTIN BACON
RAFAEL BIAG
DANIEL PAUL PEREZ
Justin Bacon
Second Quarter Grade 8 Mathematics Performance Task Special Products 3
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
Name:
SQUARE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
4
Name:
SQUARE OF A BINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
5
Name:
SQUARE OF A BINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
6
Dale drew a square with a side of (2x+1). Calculate for the area of the
square.
Given: (2x+1)
Formula: s^2 (Perform Square of a Binomial)
Solution: (2x+1)^2
(2x)^2+2(2x)(1)+(1)^2
Final Answer: 4x^2+4x+1
Name:
Product of Sum and Difference of Two
Terms
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
7
Name:
Product of Sum and Difference of Two
Terms
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
8
Name:
Product of Sum and Difference of Two
Terms
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
9
Given: [7+(x+y)][7-(x+y)]
Solution:
1. 7^2= 49
2. + (x+y)^2= x^2+2xy+y^2
Final Answer: 49+x^2+2xy+y^2
Name:
SQUARE OF A TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
10
Name:
SQUARE OF A TRINOMIAL
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
11
Name:
SQUARE OF A TRINOMIAL
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
12
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
13
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
14
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
15
Name:
CUBE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
16
Name:
CUBE OF A BINOMIAL
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
17
Name:
CUBE OF A BINOMIAL
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
18
Rafael Biag
Second Quarter Grade 8 Mathematics Performance Task Special Products 19
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
Name:
SQUARE OF A BINOMIAL
○ EASY QUESTION:(y+ x)2 = y2 + 2yx + x2
1. The square of the first term of the binomial: y2
2. Twice the product of the two terms: 2yx
3. The square of the second term: x2
FINAL ANSWER:
y2 + 2yx + x2
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
20
Name:
SQUARE OF A BINOMIAL
○ AVERAGE QUESTIOn (6x2 + 5a)2
○ SOLUTION:
(6x2)2 + 2(6x2) (5a)+ (5a)2 36x4 +60x2a +25a2
1. The square of the first term of the binomial
2. Twice the product of the two terms
3. The square of the second term
○
○
○
○
○
○
○
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
21
Name:
SQUARE OF A BINOMIAL
○ CHALLENGING QUESTION:(11n + 10m2)2
○ SOLUTION:
○ = (11n)2 +2(11n)(10m)+(10m2)2 = 121n2
+220nm+100m
1. The square of the first term of the binomial
2. Twice the product of the two terms
3. The square of the second term
○○○
○
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
22
Name:
Product of Sum and Difference of Two
Terms
○ EASY QUESTION:(y – 4)(y + 4)
1. The First term (y) squared is y2.
2. The second term will always be negative, and a perfect
square like the first term: (–4)(+4) = –16
FINAL ANSWER:
y2 - 16
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
23
Name:
Product of Sum and Difference of Two
Terms
○ AVERAGE QUESTION:(xy – 5)(xy+ 5)
○ SOLUTION:
1. The square of xy = (xy)2 = x2 y2
2. The second term is negative, and a perfect square like the
first term: 5 = –25.
FINAL ANSWER:
x2 y2 - 25
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
24
Name:
Product of Sum and Difference of Two
Terms
○ CHALLENGING QUESTION:5 + (b – a)][5 – (b– a)]
○SOLUTION:
1. The square of 5 = 25
2. The second term is negative, and a perfect square like the first term:
(b - a) = - (b - a)2
3. Square the binomial and distribute the negative sign, which looks like this:
- (b2 - 2ba + a2) = - b2 + 2ba - a2
FINAL ANSWER:
25 - b2 + 2ba - a2
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
25
Name:
SQUARE OF A TRINOMIAL
○ EASY QUESTION:6x2 - x - 2
find two numbers whose sum is the coefficient of the second term and whose product is
equal to the product of the third term and the coefficient of the first term ( (6)(-2) or -12).
By inspection, the desired numbers are found to be -4 and +3. Using these two
numbers as coefficients for x, we can rewrite the original expression as 6x2 - 4x + 3x - 2
FINAL ANSWER:
(2x + 1)(3x - 2)
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
26
Name:
SQUARE OF A TRINOMIAL
○ AVERAGE QUESTION:16x2 - 8xy + y2
To factor the trinomial, we simply take the square roots of the end
terms and join them with a plus sign if the middle term is
preceded by a plus or with a minus if the middle term is preceded
by a minus.
FINAL ANSWER:
(4x - y)2
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
27
Name:
SQUARE OF A TRINOMIAL
○ CHALLENGING QUESTION: (0.5y²+1.2x²+1.5)²
○ SOLUTION:
○(0.5y²)²+(1.2x²)²+(1.5)²+2(0.5y²)(1.2x²)+2(0.5y²)(1.5)+2(1.2x²)(1.5)
FINAL ANSWER:
0.25Y⁴+1.44X⁴+2.25²+1.2Y²X²+1.5Y²+3.6X²
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
28
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ EASY QUESTION:(x−1)(x2−2x+1)
○ SOLUTION:
○ (x−1)(x2−2x+1)=x(x2−2x+1)−1(x2−2x+1)=x3−2x2+x−x2+2x−1
FINAL ANSWER:
x3−3x2+3x−1
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
29
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ AVERAGE QUESTION:(2x + y)(4x^2 - 2xy + 4y^2)
FINAL ANSWER:
8^3 + y^3
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
30
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ CHALLENGING QUESTION:(a + b)(a - ab + b^2)
FINAL ANSWER:
a^3 + b^3
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
31
Name:
CUBE OF A BINOMIAL
○ EASY QUESTION:(a + b)3
○ SOLUTION:
○ = a3 + 3a2b + 3ab2 + b3
FINAL ANSWER:
= a3 + 3ab (a + b) + b3
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
32
Name:
CUBE OF A BINOMIAL
○ AVERAGE QUESTION:(2 – 3x)3 – (5 + 3x)3
○ SOLUTION:
○ = {23 - 3.22.(3x) + 3.2.(3x)2 - (3x)3} – {53 + 3.52.(3x) + 3.5.(3x)2 +
(3x)3}
○ = {8 – 36x + 54 x2 - 27 x3} – {125 + 225x + 135x2 + 27 x3}
○ = 8 – 36x + 54 x2 - 27 x3 – 125 - 225x - 135x2 - 27 x3
○ = 8 – 125 – 36x - 225x + 54 x2 - 135x2 - 27 x3 - 27 x3
○ = -117 – 261x - 81 x2 - 54 x3
FINAL ANSWER:
-117 – 261x - 81 x2 - 54 x3
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
33
Name:
CUBE OF A BINOMIAL
○ CHALLENGING QUESTION:(5m + 2n)3 - (5m – 2n)3
○ SOLUTION:
= {(5m)3 + 3.(5m)2. (2n) + 3. (5m). (2n)2 + (2n)3} – {(5m)3 - 3.(5m)2. (2n) + 3. (5m). (2n)2 -
(2n)3}
= {125 m3 + 150 m2 n + 60 m n2 + 8 n3} – {125 m3 - 150 m2 n + 60 m n2 - 8 n3}
= 125 m3 + 150 m2 n + 60 m n2 + 8 n3 – 125 m3 + 150 m2 n - 60 m n2 + 8 n3
= 125 m3 – 125 m3 + 150 m2 n + 150 m2 n + 60 m n2 - 60 m n2 + 8 n3 + 8 n3
= 300 m2 n + 16 n3
FINAL ANSWER:
300 m2 n + 16 n3
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
34
DANIEL PAUL PEREZ
Second Quarter Grade 8 Mathematics Performance Task Special Products 35
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
(x+6)2=x2+12x+36
x2 is the square of x.
12x is twice the product of x with 6. (x· 6 = 6x. Twice that is 12x.)
36 is the square of 6.
x2 + 12x + 36 is called a perfect square trinomial -- which is the square of a
binomial.
answer:x2+12x+36
DANIEL PAUL PEREZ
SQUARE OF A BINOMIAL
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special
Products
36
∗ AVERAGE QUESTION: (5x3 − 1)2 =25x6 − 10x3 + 1
25x6 is the square of 5x3
−10x3 is twice the product of 5x3 and −1. (5x3 times −1 = −5x3. Twice
that is −10x3.)
1 is t.he square of −1
answer:25x6 − 10x3 + 1
DANIEL PAUL PEREZ
SQUARE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
37
∗ CHALLENGING QUESTION:(8x – 7y)2
we need to square the first term the first term is 64x^2 then twice the product of the first and the second
terms 112xy then square the last term 49y^2
solution:(8x-7y)^2(8x-7y)^2
answer:64x^2-112xy+49y^2
Name:
SQUARE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
38
∗ EASY QUESTION:
(x+5)(x+5)
To answer this we need to square the x and square the 5 or time
the two term like 5 times 5 and x times x
solution:(x)2-(5)2
answer:
x2-25
DANIEL PAUL PEREZ
Product of Sum and Difference of Two Terms
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
39
∗ AVERAGE QUESTION:(9x + 5) (9x - 5)
∗ = (9x)2 - (5)2
∗ = 81x2 - 25
∗ we going to multiply 9x9 the answer is 81 then x times x will get
x2
∗ 5x5 will get 25
answer:81x2-25
DANIEL PAUL PEREZ
Product of Sum and Difference of Two Terms
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
40
∗ CHALLENGING QUESTION: (40 + 3)( 40 – 3)
∗ (40)2 – (3)2
∗ 1600 – 9
to get the 40 we need to square it and 3 so i square the 40 i get
1600 then i square 3 i get 9
answer:1600-9
DANIEL PAUL PEREZ
Product of Sum and Difference of Two Terms
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
41
∗ EASY QUESTION:
(x+6x+9x)2
To answer this we need to square the first square the second
square the third twice the product of the first and the second twice
the product of the first and the third twice the product of the
second and the third
solution:(x)2+(6x)2+(9x)2+2(x)(6x)+2(x)(9x)+2(6x)(9x)
answer:x2+36x2+81x2+36xx+18xx+108xx
DANIEL PAUL PEREZ
SQUARE OF A TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
42
∗ AVERAGE QUESTION:
(5x + 3/2 y + z)2
to get the answer we need to square the first term then square the second term then square the third term
then square the first and the second then square the first and the third then the last to square is the second
and the third
answer: 25x2 + 4/9 y2 + z2 + 15xy + 3yz + 10zx
DANIEL PAUL PEREZ
SQUARE OF A TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
43
∗ CHALLENGING QUESTION:
∗ (1/9 a – 1/3 b + 10)2
to get the answer we need to square the first term then square the second term then square the third term
then square the first and the second then square the first and the third then the last to square is the second
and the third
answer:1/81 a2 + 1/9 b2 + 100 – 2/27ab – 20/3b + 20/9a
DANIEL PAUL PEREZ
SQUARE OF A TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
44
∗ EASY QUESTION:(4a2-b3)(16a4+4a2b3+b6)
to get the answer we need to cuben 4a^2 then cube the second the
b^3 then cube it
solution:(4a^2)^3-(b^3)^3
answer:64a^6-b^9
DANIEL PAUL PEREZ
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
45
∗ AVERAGE QUESTION:(6r^3a-7t^2b)(36r^6a+42r^3at^2b+49t^4b)
like what we do we need to cube the (6r^3a)^3 then we need to
cube the second (7+^2b)^3
solution:(6r^3a)^3-(7+^2b)^3
answer:216^9a-343+^6b
DANIEL PAUL PEREZ
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
46
∗ CHALLENGING QUESTION:(2/3g^2+4/5h)(4/9g^4-
8/15g^2h+16/25h^2
like what we did but this question we need to cross out something
in the first (2/3g^2)^3 we need to cross out the two three then the
second we dont cross them just cube them (4/5h)^3
solution:(2/3g^2)^3+(4/5h)^3
answer:8/27g^6+64/125h^3
DANIEL PAUL PEREZ
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
47
∗ EASY QUESTION:(x + 5y)3
The sum of a cubed of two binomial is equal to the cube of the first term, plus
three times the square of the first term by the second term, plus three times the
first term by the square of the second term, plus the cube of the second term.
solution:(x)3+3(x)2(5y)+3(x)(5y)2+(5y)3
answer:x3+3x5y+3x25y+125y
DANIEL PAUL PEREZ
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
48
∗ AVERAGE QUESTION:(5m + 2n)3
solution:(5m)3 + 3.(5m)2. (2n) + 3. (5m). (2n)2 + (2n)3
The sum of a cubed of two binomial is equal to the cube of the first term, plus
three times the square of the first term by the second term, plus three times the
first term by the square of the second term, plus the cube of the second term.
answer:125 m3 + 150 m2 n + 60 m n2 + 8 n3
DANIEL PAUL PEREZ
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
49
∗ CHALLENGING QUESTION:(2p^3-4r)^3
The sum of a cubed of two binomial is equal to the cube of the first term, plus
three times the square of the first term by the second term, plus three times the
first term by the square of the second term, plus the cube of the second term.
solution:(2p^3)^3(2p^3)^2(-4r)+3(2p^3)(-4r)^2+(-4r)^3
answer:8p^9-48p^6^r+96p^3^r^2-64r^3
DANIEL PAUL PEREZ
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
50
NAME OF STUDENT 4
Second Quarter Grade 8 Mathematics Performance Task Special Products 51
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
Name:
SQUARE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 52
Name:
SQUARE OF A BINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 53
Name:
SQUARE OF A BINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 54
Name:
Product of Sum and Difference of Two
Terms
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 55
Name:
Product of Sum and Difference of Two
Terms
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 56
Name:
Product of Sum and Difference of Two
Terms
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 57
Name:
SQUARE OF A TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 58
Name:
SQUARE OF A TRINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 59
Name:
SQUARE OF A TRINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 60
Name:
PRODUCT OF A BINOMIAL AND A TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 61
Name:
PRODUCT OF A BINOMIAL AND A TRINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 62
Name:
PRODUCT OF A BINOMIAL AND A TRINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 63
Name:
CUBE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 64
Name:
CUBE OF A BINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 65
Name:
CUBE OF A BINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 66
RECLECTION
Group Name ____
Second Quarter Grade 8 Mathematics Performance Task Special Products 67
1 2
3 4
JUSTIN BACON
Second Quarter Grade 8 Mathematics Performance Task Special Products 68
1 2
3 4
RAFAEL BIAG
Second Quarter Grade 8 Mathematics Performance Task Special Products 69
1 2
3 4
DANIEL PAUL PEREZ
This peta was so easy but if i getting to finish its getting harder but i know my
work is not the best but i do my best for it to finish this icl peta so if i get a
lower score its ok because i just do my best for it and this peta it was fun
because this peta we are not using paper work material so we can help mother
earth improve so we use the power of electronics.
Second Quarter Grade 8 Mathematics Performance Task Special Products 70
1 2
3 4
Name of Member 4
Second Quarter Grade 8 Mathematics Performance Task Special Products 71
1 2
3 4

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Second Quarter Group F Math Peta - Special Products (Sq. of Bi, Sq. of Tri, SDTT, Bi-Tri, Cu. of Bi)

  • 1. SECOND QUARTER’s PERFORMANCE TASK: SPECIAL PRODUCTS ICL: Showcase of Solution and Final Answer
  • 2. Group Name: Factoring Second Quarter Grade 8 Mathematics Performance Task Special Products 2 JUSTIN BACON RAFAEL BIAG DANIEL PAUL PEREZ
  • 3. Justin Bacon Second Quarter Grade 8 Mathematics Performance Task Special Products 3 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 4. Name: SQUARE OF A BINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 4
  • 5. Name: SQUARE OF A BINOMIAL ● AVERAGE QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 5
  • 6. Name: SQUARE OF A BINOMIAL ● CHALLENGING QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 6 Dale drew a square with a side of (2x+1). Calculate for the area of the square. Given: (2x+1) Formula: s^2 (Perform Square of a Binomial) Solution: (2x+1)^2 (2x)^2+2(2x)(1)+(1)^2 Final Answer: 4x^2+4x+1
  • 7. Name: Product of Sum and Difference of Two Terms ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 7
  • 8. Name: Product of Sum and Difference of Two Terms ● AVERAGE QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 8
  • 9. Name: Product of Sum and Difference of Two Terms ● CHALLENGING QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 9 Given: [7+(x+y)][7-(x+y)] Solution: 1. 7^2= 49 2. + (x+y)^2= x^2+2xy+y^2 Final Answer: 49+x^2+2xy+y^2
  • 10. Name: SQUARE OF A TRINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 10
  • 11. Name: SQUARE OF A TRINOMIAL ● AVERAGE QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 11
  • 12. Name: SQUARE OF A TRINOMIAL ● CHALLENGING QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 12
  • 13. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 13
  • 14. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● AVERAGE QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 14
  • 15. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● CHALLENGING QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 15
  • 16. Name: CUBE OF A BINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 16
  • 17. Name: CUBE OF A BINOMIAL ● AVERAGE QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 17
  • 18. Name: CUBE OF A BINOMIAL ● CHALLENGING QUESTION: Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 18
  • 19. Rafael Biag Second Quarter Grade 8 Mathematics Performance Task Special Products 19 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 20. Name: SQUARE OF A BINOMIAL ○ EASY QUESTION:(y+ x)2 = y2 + 2yx + x2 1. The square of the first term of the binomial: y2 2. Twice the product of the two terms: 2yx 3. The square of the second term: x2 FINAL ANSWER: y2 + 2yx + x2 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 20
  • 21. Name: SQUARE OF A BINOMIAL ○ AVERAGE QUESTIOn (6x2 + 5a)2 ○ SOLUTION: (6x2)2 + 2(6x2) (5a)+ (5a)2 36x4 +60x2a +25a2 1. The square of the first term of the binomial 2. Twice the product of the two terms 3. The square of the second term ○ ○ ○ ○ ○ ○ ○ Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 21
  • 22. Name: SQUARE OF A BINOMIAL ○ CHALLENGING QUESTION:(11n + 10m2)2 ○ SOLUTION: ○ = (11n)2 +2(11n)(10m)+(10m2)2 = 121n2 +220nm+100m 1. The square of the first term of the binomial 2. Twice the product of the two terms 3. The square of the second term ○○○ ○ Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 22
  • 23. Name: Product of Sum and Difference of Two Terms ○ EASY QUESTION:(y – 4)(y + 4) 1. The First term (y) squared is y2. 2. The second term will always be negative, and a perfect square like the first term: (–4)(+4) = –16 FINAL ANSWER: y2 - 16 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 23
  • 24. Name: Product of Sum and Difference of Two Terms ○ AVERAGE QUESTION:(xy – 5)(xy+ 5) ○ SOLUTION: 1. The square of xy = (xy)2 = x2 y2 2. The second term is negative, and a perfect square like the first term: 5 = –25. FINAL ANSWER: x2 y2 - 25 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 24
  • 25. Name: Product of Sum and Difference of Two Terms ○ CHALLENGING QUESTION:5 + (b – a)][5 – (b– a)] ○SOLUTION: 1. The square of 5 = 25 2. The second term is negative, and a perfect square like the first term: (b - a) = - (b - a)2 3. Square the binomial and distribute the negative sign, which looks like this: - (b2 - 2ba + a2) = - b2 + 2ba - a2 FINAL ANSWER: 25 - b2 + 2ba - a2 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 25
  • 26. Name: SQUARE OF A TRINOMIAL ○ EASY QUESTION:6x2 - x - 2 find two numbers whose sum is the coefficient of the second term and whose product is equal to the product of the third term and the coefficient of the first term ( (6)(-2) or -12). By inspection, the desired numbers are found to be -4 and +3. Using these two numbers as coefficients for x, we can rewrite the original expression as 6x2 - 4x + 3x - 2 FINAL ANSWER: (2x + 1)(3x - 2) Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 26
  • 27. Name: SQUARE OF A TRINOMIAL ○ AVERAGE QUESTION:16x2 - 8xy + y2 To factor the trinomial, we simply take the square roots of the end terms and join them with a plus sign if the middle term is preceded by a plus or with a minus if the middle term is preceded by a minus. FINAL ANSWER: (4x - y)2 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 27
  • 28. Name: SQUARE OF A TRINOMIAL ○ CHALLENGING QUESTION: (0.5y²+1.2x²+1.5)² ○ SOLUTION: ○(0.5y²)²+(1.2x²)²+(1.5)²+2(0.5y²)(1.2x²)+2(0.5y²)(1.5)+2(1.2x²)(1.5) FINAL ANSWER: 0.25Y⁴+1.44X⁴+2.25²+1.2Y²X²+1.5Y²+3.6X² Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 28
  • 29. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ EASY QUESTION:(x−1)(x2−2x+1) ○ SOLUTION: ○ (x−1)(x2−2x+1)=x(x2−2x+1)−1(x2−2x+1)=x3−2x2+x−x2+2x−1 FINAL ANSWER: x3−3x2+3x−1 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 29
  • 30. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ AVERAGE QUESTION:(2x + y)(4x^2 - 2xy + 4y^2) FINAL ANSWER: 8^3 + y^3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 30
  • 31. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ CHALLENGING QUESTION:(a + b)(a - ab + b^2) FINAL ANSWER: a^3 + b^3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 31
  • 32. Name: CUBE OF A BINOMIAL ○ EASY QUESTION:(a + b)3 ○ SOLUTION: ○ = a3 + 3a2b + 3ab2 + b3 FINAL ANSWER: = a3 + 3ab (a + b) + b3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 32
  • 33. Name: CUBE OF A BINOMIAL ○ AVERAGE QUESTION:(2 – 3x)3 – (5 + 3x)3 ○ SOLUTION: ○ = {23 - 3.22.(3x) + 3.2.(3x)2 - (3x)3} – {53 + 3.52.(3x) + 3.5.(3x)2 + (3x)3} ○ = {8 – 36x + 54 x2 - 27 x3} – {125 + 225x + 135x2 + 27 x3} ○ = 8 – 36x + 54 x2 - 27 x3 – 125 - 225x - 135x2 - 27 x3 ○ = 8 – 125 – 36x - 225x + 54 x2 - 135x2 - 27 x3 - 27 x3 ○ = -117 – 261x - 81 x2 - 54 x3 FINAL ANSWER: -117 – 261x - 81 x2 - 54 x3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 33
  • 34. Name: CUBE OF A BINOMIAL ○ CHALLENGING QUESTION:(5m + 2n)3 - (5m – 2n)3 ○ SOLUTION: = {(5m)3 + 3.(5m)2. (2n) + 3. (5m). (2n)2 + (2n)3} – {(5m)3 - 3.(5m)2. (2n) + 3. (5m). (2n)2 - (2n)3} = {125 m3 + 150 m2 n + 60 m n2 + 8 n3} – {125 m3 - 150 m2 n + 60 m n2 - 8 n3} = 125 m3 + 150 m2 n + 60 m n2 + 8 n3 – 125 m3 + 150 m2 n - 60 m n2 + 8 n3 = 125 m3 – 125 m3 + 150 m2 n + 150 m2 n + 60 m n2 - 60 m n2 + 8 n3 + 8 n3 = 300 m2 n + 16 n3 FINAL ANSWER: 300 m2 n + 16 n3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 34
  • 35. DANIEL PAUL PEREZ Second Quarter Grade 8 Mathematics Performance Task Special Products 35 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 36. (x+6)2=x2+12x+36 x2 is the square of x. 12x is twice the product of x with 6. (x· 6 = 6x. Twice that is 12x.) 36 is the square of 6. x2 + 12x + 36 is called a perfect square trinomial -- which is the square of a binomial. answer:x2+12x+36 DANIEL PAUL PEREZ SQUARE OF A BINOMIAL Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 36
  • 37. ∗ AVERAGE QUESTION: (5x3 − 1)2 =25x6 − 10x3 + 1 25x6 is the square of 5x3 −10x3 is twice the product of 5x3 and −1. (5x3 times −1 = −5x3. Twice that is −10x3.) 1 is t.he square of −1 answer:25x6 − 10x3 + 1 DANIEL PAUL PEREZ SQUARE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 37
  • 38. ∗ CHALLENGING QUESTION:(8x – 7y)2 we need to square the first term the first term is 64x^2 then twice the product of the first and the second terms 112xy then square the last term 49y^2 solution:(8x-7y)^2(8x-7y)^2 answer:64x^2-112xy+49y^2 Name: SQUARE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 38
  • 39. ∗ EASY QUESTION: (x+5)(x+5) To answer this we need to square the x and square the 5 or time the two term like 5 times 5 and x times x solution:(x)2-(5)2 answer: x2-25 DANIEL PAUL PEREZ Product of Sum and Difference of Two Terms E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 39
  • 40. ∗ AVERAGE QUESTION:(9x + 5) (9x - 5) ∗ = (9x)2 - (5)2 ∗ = 81x2 - 25 ∗ we going to multiply 9x9 the answer is 81 then x times x will get x2 ∗ 5x5 will get 25 answer:81x2-25 DANIEL PAUL PEREZ Product of Sum and Difference of Two Terms E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 40
  • 41. ∗ CHALLENGING QUESTION: (40 + 3)( 40 – 3) ∗ (40)2 – (3)2 ∗ 1600 – 9 to get the 40 we need to square it and 3 so i square the 40 i get 1600 then i square 3 i get 9 answer:1600-9 DANIEL PAUL PEREZ Product of Sum and Difference of Two Terms E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 41
  • 42. ∗ EASY QUESTION: (x+6x+9x)2 To answer this we need to square the first square the second square the third twice the product of the first and the second twice the product of the first and the third twice the product of the second and the third solution:(x)2+(6x)2+(9x)2+2(x)(6x)+2(x)(9x)+2(6x)(9x) answer:x2+36x2+81x2+36xx+18xx+108xx DANIEL PAUL PEREZ SQUARE OF A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 42
  • 43. ∗ AVERAGE QUESTION: (5x + 3/2 y + z)2 to get the answer we need to square the first term then square the second term then square the third term then square the first and the second then square the first and the third then the last to square is the second and the third answer: 25x2 + 4/9 y2 + z2 + 15xy + 3yz + 10zx DANIEL PAUL PEREZ SQUARE OF A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 43
  • 44. ∗ CHALLENGING QUESTION: ∗ (1/9 a – 1/3 b + 10)2 to get the answer we need to square the first term then square the second term then square the third term then square the first and the second then square the first and the third then the last to square is the second and the third answer:1/81 a2 + 1/9 b2 + 100 – 2/27ab – 20/3b + 20/9a DANIEL PAUL PEREZ SQUARE OF A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 44
  • 45. ∗ EASY QUESTION:(4a2-b3)(16a4+4a2b3+b6) to get the answer we need to cuben 4a^2 then cube the second the b^3 then cube it solution:(4a^2)^3-(b^3)^3 answer:64a^6-b^9 DANIEL PAUL PEREZ PRODUCT OF A BINOMIAL AND A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 45
  • 46. ∗ AVERAGE QUESTION:(6r^3a-7t^2b)(36r^6a+42r^3at^2b+49t^4b) like what we do we need to cube the (6r^3a)^3 then we need to cube the second (7+^2b)^3 solution:(6r^3a)^3-(7+^2b)^3 answer:216^9a-343+^6b DANIEL PAUL PEREZ PRODUCT OF A BINOMIAL AND A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 46
  • 47. ∗ CHALLENGING QUESTION:(2/3g^2+4/5h)(4/9g^4- 8/15g^2h+16/25h^2 like what we did but this question we need to cross out something in the first (2/3g^2)^3 we need to cross out the two three then the second we dont cross them just cube them (4/5h)^3 solution:(2/3g^2)^3+(4/5h)^3 answer:8/27g^6+64/125h^3 DANIEL PAUL PEREZ PRODUCT OF A BINOMIAL AND A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 47
  • 48. ∗ EASY QUESTION:(x + 5y)3 The sum of a cubed of two binomial is equal to the cube of the first term, plus three times the square of the first term by the second term, plus three times the first term by the square of the second term, plus the cube of the second term. solution:(x)3+3(x)2(5y)+3(x)(5y)2+(5y)3 answer:x3+3x5y+3x25y+125y DANIEL PAUL PEREZ CUBE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 48
  • 49. ∗ AVERAGE QUESTION:(5m + 2n)3 solution:(5m)3 + 3.(5m)2. (2n) + 3. (5m). (2n)2 + (2n)3 The sum of a cubed of two binomial is equal to the cube of the first term, plus three times the square of the first term by the second term, plus three times the first term by the square of the second term, plus the cube of the second term. answer:125 m3 + 150 m2 n + 60 m n2 + 8 n3 DANIEL PAUL PEREZ CUBE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 49
  • 50. ∗ CHALLENGING QUESTION:(2p^3-4r)^3 The sum of a cubed of two binomial is equal to the cube of the first term, plus three times the square of the first term by the second term, plus three times the first term by the square of the second term, plus the cube of the second term. solution:(2p^3)^3(2p^3)^2(-4r)+3(2p^3)(-4r)^2+(-4r)^3 answer:8p^9-48p^6^r+96p^3^r^2-64r^3 DANIEL PAUL PEREZ CUBE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 50
  • 51. NAME OF STUDENT 4 Second Quarter Grade 8 Mathematics Performance Task Special Products 51 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 52. Name: SQUARE OF A BINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 52
  • 53. Name: SQUARE OF A BINOMIAL ● AVERAGE QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 53
  • 54. Name: SQUARE OF A BINOMIAL ● CHALLENGING QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 54
  • 55. Name: Product of Sum and Difference of Two Terms ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 55
  • 56. Name: Product of Sum and Difference of Two Terms ● AVERAGE QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 56
  • 57. Name: Product of Sum and Difference of Two Terms ● CHALLENGING QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 57
  • 58. Name: SQUARE OF A TRINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 58
  • 59. Name: SQUARE OF A TRINOMIAL ● AVERAGE QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 59
  • 60. Name: SQUARE OF A TRINOMIAL ● CHALLENGING QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 60
  • 61. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 61
  • 62. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● AVERAGE QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 62
  • 63. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● CHALLENGING QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 63
  • 64. Name: CUBE OF A BINOMIAL ● EASY QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 64
  • 65. Name: CUBE OF A BINOMIAL ● AVERAGE QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 65
  • 66. Name: CUBE OF A BINOMIAL ● CHALLENGING QUESTION: E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 66
  • 67. RECLECTION Group Name ____ Second Quarter Grade 8 Mathematics Performance Task Special Products 67 1 2 3 4
  • 68. JUSTIN BACON Second Quarter Grade 8 Mathematics Performance Task Special Products 68 1 2 3 4
  • 69. RAFAEL BIAG Second Quarter Grade 8 Mathematics Performance Task Special Products 69 1 2 3 4
  • 70. DANIEL PAUL PEREZ This peta was so easy but if i getting to finish its getting harder but i know my work is not the best but i do my best for it to finish this icl peta so if i get a lower score its ok because i just do my best for it and this peta it was fun because this peta we are not using paper work material so we can help mother earth improve so we use the power of electronics. Second Quarter Grade 8 Mathematics Performance Task Special Products 70 1 2 3 4
  • 71. Name of Member 4 Second Quarter Grade 8 Mathematics Performance Task Special Products 71 1 2 3 4