Answer
$12x^3-23x^2+13x-2$
Work Step by Step
Using the Distributive Property, the product of the given expression, $
(4x^2-5x+1)(3x-2)
,$ is
\begin{array}{l}\require{cancel}
4x^2(3x)+4x^2(-2)-5x(3x)-5x(-2)+1(3x)+1(-2)
\\\\=
12x^3-8x^2-15x^2+10x+3x-2
\\\\=
12x^3+(-8x^2-15x^2)+(10x+3x)-2
\\\\=
12x^3-23x^2+13x-2
.\end{array}