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: 49

Answer

$(x-y)(b-c)$

Work Step by Step

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