Intermediate Algebra (6th Edition)

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

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: $=(x-1)(x+y)$
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