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: 42

Answer

$3a^2b-10ab^2$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (5a^2b-7ab^2)-(3a^2b+ab^2)+(a^2b-2ab^2) ,$ simplifies to \begin{array}{l}\require{cancel} 5a^2b-7ab^2-3a^2b-ab^2+a^2b-2ab^2 \\\\= (5a^2b-3a^2b+a^2b)+(-7ab^2-ab^2-2ab^2) \\\\= 3a^2b-10ab^2 .\end{array}
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