## Elementary Algebra

Published by Cengage Learning

# Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1: 38

#### Answer

$-7n^2+13n+19$

#### Work Step by Step

We write an expression to express this subtraction problem: $(-4n^2+6n+10)-(3n^2-7n-9)$ We use the commutative, associative, and distributive properties to group like terms: $(-4-3)n^2+(6-(-7))n+(10-(-9))$ We combine the like terms within each set of parentheses: $-7n^2+13n+19$

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