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: 49

Answer

$4a^2-b^2$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the given expression, $ (2a-b)(2a+b) ,$ simplifies to \begin{array}{l}\require{cancel} (2a)^2-(b)^2 \\\\= 4a^2-b^2 .\end{array}
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