College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Review Exercises: 73

Answer

$(y+2)(x-1)$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To factor the given expression, $ xy+2x-y-2 ,$ use factoring by grouping. $\bf{\text{Solution Details:}}$ Grouping the first and second terms and the third and fourth terms, the given expression is equivalent to \begin{array}{l}\require{cancel} (xy+2x)-(y+2) .\end{array} Factoring the $GCF$ in each group results to \begin{array}{l}\require{cancel} x(y+2)-(y+2) .\end{array} Factoring the $GCF= (y+2) $ of the entire expression above results to \begin{array}{l}\require{cancel} (y+2)(x-1) .\end{array}
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