#### Answer

$(4m-p^2)(-4m^2-p)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Group the terms of the given expression, $
-16m^3+4m^2p^2-4mp+p^3
,$ such that the factored form of the groupings will result to a factor 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}
(-16m^3+4m^2p^2)-(4mp-p^3)
.\end{array}
Factoring the $GCF$ in each group results to
\begin{array}{l}\require{cancel}
-4m^2(4m-p^2)-p(4m-p^2)
.\end{array}
Factoring the $GCF=
(4m-p^2)
$ of the entire expression above results to
\begin{array}{l}\require{cancel}
(4m-p^2)(-4m^2-p)
.\end{array}