The document discusses factoring the difference of two squares through examples such as (x+5)(x-5)=x^2 - 25. It explains that to factor a difference of two squares, we write the expression as the difference of two terms squared, then group the terms with the same bases and opposite signs inside parentheses. Several practice problems are provided to reinforce this technique for factoring completely the difference of two squares.

1. Objectives:
1.Factor completely the difference of two
squares.
2. Discover the pattern in factoring the
difference of two squares.
P R E P A R E D B Y : N I C A N D R O C . S A L A M A T
S S T - I
P I L I N A T I O N A L H I G H S C H O O L

2. REVIEW
Find the GCF:
1. 8, 12 GCF=4
2. 9, 12, 15 GCF=3

3. L E T ’ S T E S T H O W S H A R P E N I S O U R
M I N D .
1.) (1)²
Evaluate:
=1•1=1
2.) (2)² = 4
3.) (3)² = 9
4.) (4)²= 16
5.) (10)² = 100

4. L E T ’ S T E S T H O W S H A R P E N I S O U R
M I N D .
6.) (9)² = 81
7.) (8)² = 64
8.) (5)² = 25
9.) (6)² = 36
100.) (7)² = 49

5. L E T ’ S T E S T H O W S H A R P E N I S O U R
M I N D .
1.) (1)²
Evaluate:
=1
2.) (2)² = 4
3.) (3)² = 9
4.) (4)²= 16
5.) (10)² = 100
Perfect
square nos.

6. L E T ’ S T E S T H O W S H A R P E N I S O U R
M I N D .
6.) (9)² = 81
7.) (8)² = 64
8.) (5)² = 25
9.) (6)² = 36
100.) (7)² = 49
Perfect
square nos.

7. B A C K T O T H E F A S T
16 = (4)² = 4
Check: (4)2
= 16

8. L E T ’ S E X E R C I S E O U R M I N D
1 = 1
4 = 2
9 = 3
16 = 4
25 = 5
4𝑥² = 2x
9𝑥² = 3x
36𝑥² = 6x
49𝑥² = 7x
81𝑥² = 9x
64𝑥2 𝑦² = 8xy

9. REVIEW
(x+3)(x-3)
Multiply the given expressions:

10. REVIEW
(x+3)(x-3)
Multiply the given expressions:
Using FOIL

11. REVIEW
(x+3)(x-3)
Multiply the given expressions:
= x²- 3x+ 3x - 9/ /
= x² - 9

12. REVIEW
(x+3)(x-3)= (x)²- (3)²
It can be simply say:
= x² - 9
The product of the sum and difference of two
terms is the difference of the squares

13. LET US APPLY…
(x+2)(x-2)=(x)²- (2)²
= x² - 4

14. AG AIN, LET’S PRACTICE…
1. (x+5)(x-5) x² - 25
2. (x+2)(x-2) x² - 4
3. (x+6y)(x-6y) x² - 36y²
4. (4x+6y)(4x-6y)16x² - 36y²

15. FACTORING
REVIEW
What is Factoring?
-Is the reverse process
of multiplication.

16. LOOK, LISTEN, REMEMBER
Multiply:
Factor:
(x+5)(x-5) = x² - 25
x² - 25 (x+5)(x-5)=
square square
difference
FACTORING the difference of two
squares

17. WATCH AND LEARN

18. LET US MAKE IT SIMPLE…

19. LET’S PRACTICE!!!
1. x² - 25 ( + )=
𝑥² =x
25 =5
( - )x x5 5

20. P R A C T I C E M A K E S P E R F E C T …
1. x² - 4
2. x² - 9
3. 25x² - 4
4. 9x² - 25y²
5. 4x² - 49y²
(x+2)(x-2)
(x+3)(x-3)
(5x+2)(5x-2)
(3x+5y)(3x-5y)
(2x+7y)(2x-7y)

21. 1. x² - 49
2. c² - 81
3. 4x² - 25
4. a²b² - 64c²
5. 25x² - 121y²
(x+7)(x-7)
(c+9)(c-9)
(2x+5)(2x-5)
(ab+8c)(ab-8c)
(5x+11y)(5x-11y)
A C T I V I T Y N O . _ _

22. THE END
GOODBYE! 