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**10.7 Factoring Special Products**

Difference of Two Squares Pattern/ Perfect Square Trinomials

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

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**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

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**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

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**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

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

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**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

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**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

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

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

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