Answer
$6p^3(3p^2-4+2p^3)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To factor the given expression, $
18p^5-24p^3+12p^6
,$ factor the $GCF.$
$\bf{\text{Solution Details:}}$
The $GCF$ of the terms in the given expression is $
6p^3
,$ 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}
6p^3(3p^2-4+2p^3)
.\end{array}