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: 47

Answer

$(x+y)(5+b)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ 5x+5y+bx+by ,$ is \begin{array}{l}\require{cancel} (5x+5y)+(bx+by) \\\\= 5(x+y)+b(x+y) \\\\= (x+y)(5+b) .\end{array}
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