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: 36

Answer

$6x^2-8x+7$

Work Step by Step

We write an expression to express this subtraction problem: $(8x^2-2x+6)-(2x^2+6x-1)$ We use the commutative, associative, and distributive properties to group like terms: $(8-2)x^2+(-2-6)x+(6-(-1))$ We combine the like terms within each set of parentheses: $6x^2+(-8x)+7=6x^2-8x+7$
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