Mathematics 8

1. MODULE 4
FACTORING
DIFFERENCE OF
TWO SQUARES

2. HOW TO FACTOR
THE DIFFERENCE
OF TWO SQUARES?

3. THE PRODUCT OF A SUM &
DIFFERENCE OF 2 TERMS
𝒂 + 𝒃 𝒂 − 𝒃 = 𝒂 𝟐 − 𝒃 𝟐
Difference of
two squares
Sum of
two terms
Difference of
two terms

4. EXAMPLE:
Factor the following:
1. 16𝑥2
− 25
3. 27𝑥2
− 3𝑦2
2. 25𝑚2
−81𝑛2

5. 1. 16𝑥2
− 25

6. 2. 25𝑚2
− 81𝑛2

7. 3. 27𝑥2
− 3𝑦2

8. HOW TO FACTOR
THE SUM OF TWO
CUBES?

9. THE SUM OF TWO CUBES
𝒂 𝟑
+ 𝒃 𝟑
= 𝒂 + 𝒃 𝒂 𝟐
− 𝒂𝒃 + 𝒃 𝟐
Example:
1. 𝑥3
+ 8
2. 27𝑥3
+ 1

10. 1. 𝑥3
+ 8

11. 2. 27𝑥3
+ 1

12. HOW TO FACTOR
THE DIFFERENCE
OF TWO CUBES?

13. THE DIFFERENCE OF TWO CUBES
𝒂 𝟑
− 𝒃 𝟑
= 𝒂 − 𝒃 𝒂 𝟐
+ 𝒂𝒃 + 𝒃 𝟐
Example:
1. 𝑥3
− 125
2. 6𝑥3
− 48

14. 1. 𝑥3
− 125

15. 2. 6𝑥3
− 48

16. Thank You