Answer
$10x^3-27x^2+32x-21$
Work Step by Step
Using the Distributive Property, the given expression, $
(2x-3)(5x^2-6x+7)
,$ is equivalent to
\begin{array}{l}\require{cancel}
2x(5x^2)+2x(-6x)+2x(7)-3(5x^2)-3(-6x)-3(7)
\\\\=
10x^3-12x^2+14x-15x^2+18x-21
\\\\=
10x^3+(-12x^2-15x^2)+(14x+18x)-21
\\\\=
10x^3-27x^2+32x-21
.\end{array}
