Answer
$(x+a)(x+b)$
Work Step by Step
Using factoring by grouping, the given expression, $
x^2+ax+bx+ab
,$ is equivalent to
\begin{array}{l}\require{cancel}
(x^2+ax)+(bx+ab)
\\\\=
x(x+a)+b(x+a)
\\\\=
(x+a)(x+b)
.\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.