Answer
$7x^5+14x^3+5x^2+10$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(7x^3+5)(x^2+2)
,$ is
\begin{array}{l}\require{cancel}
7x^3(x^2)+7x^3(2)+5(x^2)+5(2)
\\\\=
7x^5+14x^3+5x^2+10
.\end{array}