Answer
$15x^2+29x-14$
Work Step by Step
Using the Distributive Property and then combining similar terms, the given expression, $
(5x-2)(3x+7)
,$ is equivalent to
\begin{array}{l}\require{cancel}
5x(3x)+5x(7)-2(3x)-2(7)
\\\\=
15x^2+35x-6x-14
\\\\=
15x^2+29x-14
.\end{array}