MATHEMATICS
8
Renaselle R. Dollente
Teacher I
ACTIVITY
“Passing the Crown”
As the music plays, you
have to pass the crown to your
seatmate. When the music
stops playing, the one who
holds the crown will answer
the intended question.
𝟗𝟐
Ans. 81
−𝟓𝟐
Ans. 25
𝟒𝟐
Ans. 16
𝟏𝟎𝟐
Ans. 100
𝟕𝟐
Ans. 49
−𝟏𝟏𝟐
Ans. 121
At the end of the period, the
students will be able to:
 identify special products that are
square of binomial; and
 solve problems involving square of
binomial.
OBJECTIVES
_ _ _ _ _ _
_ _
_ _ _ _ _ _ _ _
SEROFBINLOMIAQU
A
s _ _ _ _ _
_ _
_ _ _ _ m _ _ l
SEROFBINLOMIAQU
A
S q u a r e
o f
B i n o m i a l
SEROFBINLOMIAQUA
Square of Binomial
BINOMIAL – It is a polynomial with exactly two
terms.
SQUARE – Multiply a number or polynomials
twice to itself.
Hence, square of binomial is multiplying a
binomial twice to itself.
EXAMPLES:
1. (𝑥 + 𝑦)2
=
Long Method
(𝑥 + 𝑦)2
= (𝑥 + 𝑦)(𝑥 + 𝑦) FOIL Method or DPM
= 𝑥2
+ 𝑥𝑦 + 𝑥𝑦 + 𝑦2
= 𝑥2 +2𝑥𝑦 + 𝑦2
Shortcut
Rules in Squaring a Binomial
1. Square the First Term.
2. Twice the product of the first
and second term.
3. Square the second term.
(𝑥 + 𝑦)2
= (𝑥)2
+ 2 𝑥 𝑦 + (𝑦)2
= 𝑥2
+ 2𝑥𝑦 + 𝑦2
Shortcut
2. (𝑥 − 3)2
= (𝑥)2
+ 2 𝑥 −3 + (−3)2
= 𝑥2
− 6𝑥 + 9
Shortcut
3.(2𝑎 + 4𝑏)2
= (2𝑎)2
+ 2 2𝑎 4𝑏 + (4𝑏)2
=4𝑎2
+ 16𝑎𝑏 + 16𝑏2
Try to solve!
4.(3𝑚 + 5)2
5. (3𝑝 − 9)2
6. (𝑥 + 7)2
7. (2𝑎 − 6)2
8. (4𝑐 + 4𝑑)2
GROUP
ACTIVITY
QUIZ BEE
(Raise your metacards)
SUMMING UP
Quiz
Solve the following.
1. (2𝑥 − 1)2
2. (3𝑥 − 2)2
3. (5𝑚 + 𝑏𝑛)2
4. (4𝑎 − 𝑏)2
5. (3𝑞 − 7)2
ASSIGNMENT:
Solve.
(𝒂 + 𝒃 + 𝒄)𝟐
.
Thank you
and
God Bless!!!!

Square of Binomial.pptx