Answer
$4x^3-13x^2-5x+2$
Work Step by Step
Using the Distributive Property, the given expression simplifies to
\begin{array}{l}
(4x-1)(x^2-3x-2)
\\=
4x(x^2)+4x(-3x)+4x(-2)-1(x^2)-1(-3x)-1(-2)
\\=
4x^3-12x^2-8x-x^2+3x+2
\\=
4x^3+(-12x^2-x^2)+(-8x+3x)+2
\\=
4x^3-13x^2-5x+2
.\end{array}
