Answer
$x^2-x+xy-y=(x-1)(x+y)$
Work Step by Step
Regroup to have:
$=(x^2-x)+(xy-y)$
Factor out the GCF $x$ in the first group and $y$ in the second group to have:
$=x(x-1)+y(x-1)$
Factor out the GCF $(x-1)$ to have:
$=(x-1)(x+y)$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 6 - Section 6.4 - Dividing Polynomials: Long Division and Synthetic Division - Exercise Set - Page 371: 68
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