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}
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