Answer
$(x+1)(x+y)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
x^2+x+xy+y
,$
\begin{array}{l}
(x^2+x)+(xy+y)
\\\\=
x(x+1)+y(x+1)
\\\\=
(x+1)(x+y)
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 5 - Polynomials and Factoring - 5.6 Factoring: A General Strategy - 5.6 Exercise Set - Page 344: 39
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