## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 5 - Test - Page 416: 3

#### Answer

$$5x^3 + 2x^2 + 2x - 9$$

#### Work Step by Step

To simplify this expression we need to get rid of the parentheses and perform the addition or subtraction as specified. Since we are subtracting polynomials, we add the opposite of the polynomial that we are subtracting: $$9x^3 - 6x^2 - 11x - 4 - 4x^3 + 8x^2 + 13x - 5$$ We then group like terms: $$(9x^3 - 4x^3) + (-6x^2 + 8x^2) + (-11x + 13x) + (-4 - 5)$$ Now we combine like terms: $$5x^3 + 2x^2 + 2x - 9$$

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