Answer
$(y+6)(x+2)$
Work Step by Step
Using factoring by grouping, the given expression, $
xy+6x+2y+12
,$ is equivalent to
\begin{array}{l}\require{cancel}
(xy+6x)+(2y+12)
\\\\=
x(y+6)+2(y+6)
\\\\=
(y+6)(x+2)
.\end{array}
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-805-X
ISBN 13:
978-0-13417-805-9
Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 427: 78
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