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