1. 10.7 Factoring Special Products
Difference of Two Squares Pattern/
Perfect Square Trinomials

2. Objectives
I will identify and use special product patterns to factor quadratic polynomials.

3. Factoring the Difference of Two Squares
1. x2 - 36
= x Write in a2 - b2 form
= (x + 6)(x - 6) Factor using the pattern (a + b)(a - b) = a2 - b2

4. Factoring the Difference of Two Squares
2. 9x
= (3x) Write in a2 - b2 form
= (3x + 11)(3x - 11) Factor using the pattern (a + b)(a - b) = a2 - b2

5. Factoring the Difference of Two Squares
3. 12x2 - 75
= 3(4x2 - 25) Factor out a common factor
= 3[(2x)2 - 52] Write in a2 - b2 form
= 3(2x + 5)(2x - 5) Factor using the pattern (a + b)(a - b) = a2 - b2

6. Guided Practice Factor x2 - 169 16x2 - 9 20x2 - 20 (x + 13)(x - 13)

7. Factoring Perfect Square Trinomials
4. x2 - 6x + 9
x2 - 2(x)(3) + 32 Write in a2 - 2ab + b2 form
(x - 3)2 Factor using pattern

8. Factoring Perfect Square Trinomials
5. 4x2 + 28x + 49
(2x)2 + 2(2x)(7) + 72 Write in a2 - 2ab + b2 form
(2x + 7)2 Factor using pattern

9. Guided Practice Factor x2 - 18x + 81 x2 + 24x + 144 9x2 + 30x + 25

10. Independent Practice Factor x2 - 25 x2 + 26x + 169 4x2 - 81