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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Using the Distributive Property

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Exercise 24 Page 40

Rewrite the given expression so that it is easier to make groups.

(x+1)(y-2)

Practice makes perfect

To factor by grouping, we will take the greatest common factor of the first pair of terms and the greatest common factor of the second pair of terms.

xy - 2x-2+y

Factor out x

x(y-2) - 2 + y

CommutativePropAdd

Commutative Property of Addition

x(y-2) + y - 2

Factor out 1

x(y-2)+1(y-2)

Notice that (y-2) is a factor of both terms, so we can factor it out.

x(y-2)+1(y-2)

Factor out (y-2)

(y-2)(x+1)

CommutativePropMult

Commutative Property of Multiplication

(x+1)(y-2)

Subchapter links

Exercises p.39-42