Answer
$(k-9)(q+r)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Group the terms of the given expression, $
kq-9q+kr-9r
,$ such that the factored form of the groupings will result to a factor that is common to the entire expression. Then, factor the $GCF$ in each group. Finally, factor the $GCF$ of the entire expression.
$\bf{\text{Solution Details:}}$
Grouping the first and second terms and the third and fourth terms, the given expression is equivalent to
\begin{array}{l}\require{cancel}
(kq-9q)+(kr-9r)
.\end{array}
Factoring the $GCF$ in each group results to
\begin{array}{l}\require{cancel}
q(k-9)+r(k-9)
.\end{array}
Factoring the $GCF=
(k-9)
$ of the entire expression above results to
\begin{array}{l}\require{cancel}
(k-9)(q+r)
.\end{array}
