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: 55

Answer

$30x^2-28xy+6y^2$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $ (6x-2y)(5x-3y) ,$ simplifies to \begin{array}{l}\require{cancel} 6x(5x)+6x(-3y)-2y(5x)-2y(-3y) \\\\= 30x^2-18xy-10xy+6y^2 \\\\= 30x^2-28xy+6y^2 .\end{array}
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