Answer
$-3w^3+10w^2-w-6$
Work Step by Step
Using the Distributive Property, the product of the given expression, $
(3w+2)(-w^2+4w-3)
,$ is
\begin{array}{l}\require{cancel}
3w(-w^2)+3w(4w)+3w(-3)+2(-w^2)+2(4w)+2(-3)
\\\\=
-3w^3+12w^2-9w-2w^2+8w-6
\\\\=
-3w^3+(12w^2-2w^2)+(-9w+8w)-6
\\\\=
-3w^3+10w^2-w-6
.\end{array}
