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Glencoe Math: Course 2, Volume 2 View details

8. Factor Linear Expressions

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Exercise 28 Page 421

Find the product of the common prime factors.

8(4x+3y)

Practice makes perfect

To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms. 32x&= 2 * 2 * 2 * 2 * 2 * x 24y &= 2 * 2 * 2 * 3 * yIn this case, the GCF is the product of the common prime factors. 2 * 2 * 2 = 8 Let's factor out the GCF for our expression.

32x+24y

Rewrite

Rewrite 32x as 8 * 4x

8 * 4x+24y

Rewrite

Rewrite 24 as 8 * 3y

8 * 4x+8 * 3y

FactorOut

Factor out 8

8(4x+3y)