Elementary Algebra

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: 48

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}
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