Answer
$(x+y+z)(a-b+c)$.
Work Step by Step
The given expression is
$=ax+ay+az-bx-by-bz+cx+cy+cz$
Factor out the common terms.
$=a(x+y+z)-b(x+y+z)+c(x+y+z)$
Again factor out the common terms.
$=(x+y+z)(a-b+c)$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Section 5.3 - Greatest Common Factors and Factoring by Grouping - Exercise Set - Page 348: 77
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