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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 78 Page 176

Try to group terms with common factors.

(2c+d)(2c-d)(3x-4y)

Practice makes perfect

To factor given polynomial, we will start by grouping terms with common factors. 12 c^2x+4 d^2y-3 d^2x-16 c^2y ⇕ (12c^2x-16c^2y)+(4d^2y-3d^2x) Now, we can factor out a greatest common factor - GCF - from each group of terms. Let's do it!

(12c^2x-16c^2y)+(4d^2y-3d^2x)

FactorOut

Factor out 4c^2

4c^2(3x-4y)+4d^2y-3d^2x

FactorOut

Factor out - d^2

4c^2(3x-4y)-d^2(- 4y+3x)

FactorOut

Factor out (3x-4y)

(4c^2-d^2)(3x-4y)

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Write as a power