You will learn how to factor the difference of two squares. For more instructional resources, CLICK me here! 👇👇👇 https://tinyurl.com/y9muob6q LIKE and FOLLOW me here! 👍👍👍 https://tinyurl.com/ycjp8r7u https://tinyurl.com/ybo27k2u

1. Grade 8 – Mathematics
Quarter I
FACTORING: DIFFERENCE
OF TWO SQUARES

2. Objectives:
1. identify whether or not an
expression is a difference of two
squares; and
2. factor the difference of two
squares completely;

3. Tell whether the following number
is a perfect square or not.
1. 25
2. 75
3. 81
4. 40
5. 144
6. 60
7. 100
8. 64
9. 88
10. 121
PERFECT SQUARE
NOT
PERFECT SQUARE
PERFECT SQUARE
PERFECT SQUARE
PERFECT SQUARE
PERFECT SQUARE
NOT
NOT
NOT

4. 1. 25
2. 81
3. 144
4. 100
5. 64
6. 121
5 x 5 = 𝟓 𝟐
9 x 9 = 𝟗 𝟐
12 x12 = 𝟏𝟐 𝟐
10 x10 = 𝟏𝟎 𝟐
8 x 8 = 𝟖 𝟐
11 x 11 = 𝟏𝟏 𝟐
Rewrite each number in exponential
form.

5. Difference of Two Squares
If x and y are real numbers, variables or
algebraic expressions, then
𝒙 𝟐
- 𝒚 𝟐
𝒙 𝟐
- 𝒚 𝟐
= (x + y)(x – y)
The difference of two squares is the product
of sum and difference of those terms.
1st term 2nd term FACTORED FORM

6. Factoring Difference of Two Squares
𝟗𝒙 𝟐
- 100
= ( ) 𝟐
- ( ) 𝟐
Given:
Rewrite as difference of
two squares:
3x 10
Copy the first and
second term = (3x + 10)(3x - 10)
Factored Form = (3x + 10)(3x - 10)

7. Factoring Difference of Two Squares
𝟒𝒙 𝟐
- 81
= ( ) 𝟐
- ( ) 𝟐
Given:
Rewrite as difference of
two squares:
2x 9
Copy the first and
second term = (2x + 9)(2x - 9)
Factored Form = (2x + 9)(2x - 9)

8. Factoring Difference of Two Squares
𝟖𝟏𝒎 𝟐
- 𝟒𝒏 𝟒
𝒑 𝟔
= ( ) 𝟐
- ( ) 𝟐
Given:
Rewrite as difference of
two squares:
9m 𝟐𝒏 𝟐
𝒑 𝟑
Copy the first and
second term
= (9m+𝟐𝒏 𝟐
𝒑 𝟑
)(9m-𝟐𝒏 𝟐
𝒑 𝟑
)
Factored Form (9m+𝟐𝒏 𝟐
𝒑 𝟑
)(9m-𝟐𝒏 𝟐
𝒑 𝟑
)

9. Factoring Difference of Two Squares
-𝟒𝟗𝒙 𝟖
+ 25
= ( ) 𝟐
- ( ) 𝟐
Given:
Rewrite as difference of
two squares: 5 𝟕𝒙 𝟒
Copy the first and
second term = (5 + 𝟕𝒙 𝟒
)(5 - 𝟕𝒙 𝟒
)
Factored Form = (5 + 𝟕𝒙 𝟒
)(5 - 𝟕𝒙 𝟒
)
25 - 𝟒𝟗𝒙 𝟖