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: 54

Answer

$18-11u^2v^2+u^4v^4$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $ (9-u^2v^2)(2-u^2v^2) ,$ simplifies to \begin{array}{l}\require{cancel} 9(2)+9(-u^2v^2)-u^2v^2(2)-u^2v^2(-u^2v^2) \\\\= 18-9u^2v^2-2u^2v^2+u^4v^4 \\\\= 18-11u^2v^2+u^4v^4 .\end{array}
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