Answer
$10c^2d-5c^3d^2-2c^3+c^4d-2cd^2+c^2d^3$
Work Step by Step
Using the Distributive Property, the given expression, $
(5cd-c^2-d^2)(2c-c^2d)
,$ simplifies to
\begin{array}{l}\require{cancel}
5cd(2c)+5cd(-c^2d)-c^2(2c)-c^2(-c^2d)-d^2(2c)-d^2(-c^2d)
\\\\=
10c^2d-5c^3d^2-2c^3+c^4d-2cd^2+c^2d^3
.\end{array}
