Answer
$(5p+3q)(3m-2n)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To factor the given expression, $
15mp+9mq-10np-6nq
,$ use factoring by grouping.
$\bf{\text{Solution Details:}}$
Grouping the first and second terms and the third and fourth terms, the given expression is equivalent to
\begin{array}{l}\require{cancel}
(15mp+9mq)-(10np+6nq)
.\end{array}
Factoring the $GCF$ in each group results to
\begin{array}{l}\require{cancel}
3m(5p+3q)-2n(5p+3q)
.\end{array}
Factoring the $GCF=
(5p+3q)
$ of the entire expression above results to
\begin{array}{l}\require{cancel}
(5p+3q)(3m-2n)
.\end{array}
