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 R - Elementary Algebra Review - R.5 Polynomials and Factoring - R.5 Exercise Set: 18

Answer

$(x+2y)(2x-3)$

Work Step by Step

Factoring the $GCF=(x+2y)$ the given expression is equivalent to \begin{array}{l}\require{cancel} (x+2y)(x-1)+(x+2y)(x-2) \\\\= (x+2y)[(x-1)+(x-2)] \\\\= (x+2y)[x-1+x-2] \\\\= (x+2y)(2x-3) .\end{array}
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