Answer
$10x^3-7x^2-3x+2$
Work Step by Step
Using the Distributive Property, the expression, $
(5x^2-x-2)(2x-1)
$, is equivalent to
\begin{array}{l}
5x^2(2x)+5x^2(-1)-x(2x)-x(-1)-2(2x)-2(-1)
\\\\=
10x^3-5x^2-2x^2+x-4x+2
\\\\=
10x^3-7x^2-3x+2
.\end{array}