Answer
$(2-q)(2-3p)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Factor by grouping the first $2$ and the last $2$ terms of the given expression, $
4-2q-6p+3pq
.$ Then, factor the $GCF$ in each group. Finally, factor the $GCF$ of the entire expression.
$\bf{\text{Solution Details:}}$
Grouping the first $2$ and the last $2$ terms, the given expression is equivalent to
\begin{array}{l}\require{cancel}
(4-2q)-(6p-3pq)
.\end{array}
Factoring the $GCF$ in each group, results to
\begin{array}{l}\require{cancel}
2(2-q)-3p(2-q)
.\end{array}
Factoring the $GCF=
(2-q)
$ of the entire expression above results to
\begin{array}{l}\require{cancel}
(2-q)(2-3p)
.\end{array}
