Answer
$6x^3-7x^2-11x-3$
Work Step by Step
Using the Distributive Property, the product of the given expression, $
(2x+1)(3x^2-5x-3)
,$ is
\begin{array}{l}\require{cancel}
2x(3x^2)+2x(-5x)+2x(-3)+1(3x^2)+1(-5x)+1(-3)
\\\\=
6x^3-10x^2-6x+3x^2-5x-3
\\\\=
6x^3+(-10x^2+3x^2)+(-6x-5x)-3
\\\\=
6x^3-7x^2-11x-3
.\end{array}