Answer
$2x^3-13x^2+14x-4$
Work Step by Step
Using the Distributive Property, the given expression, $
(2x-1)(x^2-6x+4)
,$ is equivalent to
\begin{array}{l}\require{cancel}
2x(x^2)+2x(-6x)+2x(4)-1(x^2)-1(-6x)-1(4)
\\\\=
2x^3-12x^2+8x-x^2+6x-4
\\\\=
2x^3+(-12x^2-x^2)+(8x+6x)-4
\\\\=
2x^3-13x^2+14x-4
.\end{array}
