Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1: 26

Answer

$-5n^2+2n-13$

Work Step by Step

We write an expression to express this addition problem: $(-5n^2+7n-9)+(-5n-4)$ We use the commutative, associative, and distributive properties to group like terms: $(-5)n^2+(7+(-5))n+(-9+(-4))$ We combine the like terms within each set of parentheses: $-5n^2+2n+(-13)=-5n^2+2n-13$
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