Answer
$(p+2)(4+m)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To factor the given expression, $
4(p+2)+m(p+2)
,$ factor the $GCF.$
$\bf{\text{Solution Details:}}$
The $GCF$ of the terms in the given expression is $
(p+2)
,$ since it is the greatest expression that can divide all the terms evenly (no remainder.) Factoring the $GCF$ results to
\begin{array}{l}\require{cancel}
(p+2)(4+m)
.\end{array}