Answer
$-18x^4+12x^3+42x^2$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
-6x^2(3x^2-2x-7)
,$ is equivalent to
\begin{array}{l}\require{cancel}
-6x^2(3x^2)-6x^2(-2x)-6x^2(-7)
\\\\=
-18x^4+12x^3+42x^2
.\end{array}