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}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
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 - Page 970: 18
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