#### Answer

$-12x^2y^2(5y^2-2x+1)$

#### Work Step by Step

Factoring the negative $GCF=-12x^2y^2,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
24x^3y^2-60x^2y^4-12x^2y^2
\\\\=
-12x^2y^2(-2x+5y^2+1)
\\\\=
-12x^2y^2(5y^2-2x+1)
.\end{array}