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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Practice Test

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Exercise 6 Page 86

Begin with the Distributive Property.

x^3+2x^2-21x+18

To simplify the given expression, we will use the Distributive Property.

(x-3)(x^2+5x-6)

Distribute (x^2+5x-6)

x(x^2+5x-6)-3(x^2+5x-6)

Distribute x

x^3+5x^2-6x-3(x^2+5x-6)

Distribute - 3

x^3+5x^2-6x-3x^2-15x+18

CommutativePropAdd

Commutative Property of Addition

x^3+5x^2-3x^2-6x-15x+18

Subtract terms

x^3+2x^2-21x+18

Since there are no more like terms, our expression cannot be simplified any further.

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