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: 36

Answer

$-5r^2t-6rt+6rt^2$

Work Step by Step

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