Answer
$9m(2m^2+m-5)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To factor the given expression, $
9m^2-45m+18m^3
,$ factor the $GCF.$
$\bf{\text{Solution Details:}}$
The $GCF$ of the terms in the given expression is $
9m
,$ 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}
9m(m-5+2m^2)
\\\\=
9m(2m^2+m-5)
.\end{array}