Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set: 34

Answer

$5r^3+4rs-6r^2$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (7r^3+rs-5r^2)-(2r^3-3rs+r^2) ,$ simplifies to \begin{array}{l}\require{cancel} 7r^3+rs-5r^2-2r^3+3rs-r^2 \\\\= (7r^3-2r^3)+(rs+3rs)+(-5r^2-r^2) \\\\= 5r^3+4rs-6r^2 .\end{array}
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