Answer
$(x+y)(1+a)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
x+y+ax+ay
,$ is
\begin{array}{l}\require{cancel}
(x+y)+(ax+ay)
\\\\=
(x+y)+a(x+y)
\\\\=
(x+y)(1+a)
.\end{array}
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.