Answer
$(x+y)(7+z)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
7x+7y+zx+zy
,$ is
\begin{array}{l}\require{cancel}
(7x+7y)+(zx+zy)
\\\\=
7(x+y)+z(x+y)
\\\\=
(x+y)(7+z)
.\end{array}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1 - Page 242: 48
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