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

Published by Pearson

Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 284: 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}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.