Answer
$-4x^2+11x-6$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(4x-3)(2-x)
,$ is
\begin{array}{l}\require{cancel}
4x(2)+4x(-x)-3(2)-3(-x)
\\\\=
8x-4x^2-6+3x
\\\\=
-4x^2+(8x+3x)-6
\\\\=
-4x^2+11x-6
.\end{array}