Answer
$(x+y)(x-5)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
x^2+xy-5x-5y
,$ is
\begin{array}{l}\require{cancel}
(x^2+xy)-(5x+5y)
\\\\=
x(x+y)-5(x+y)
\\\\=
(x+y)(x-5)
.\end{array}
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises - Page 40: 87
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