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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 33 Page 174

The formula to factor the difference of two squares is a^2-b^2=(a+b)(a-b).

(3x+5)(3x-5)

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Look closely at the expression 9x^2-25. It can be expressed as the difference of two perfect squares.

9x^2-25

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Write as a power

3^2x^2-5^2

ProdPowII

a^m b^m = (a b)^m

(3x)^2-5^2

Recall the formula to factor a difference of squares. a^2- b^2 ⇔ ( a+ b)( a- b) We can apply this formula to our expression. ( 3x)^2- 5^2 ⇔ ( 3x+ 5)( 3x- 5)

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Exercises p.174-177

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101

102

103

Exercise 33 Page 174

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