Answer
$8x^5+40x^3+3x^2+15$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(8x^3+3)(x^2+5)
,$ is
\begin{array}{l}\require{cancel}
8x^3(x^2)+8x^3(5)+3(x^2)+3(5)
\\\\=
8x^5+40x^3+3x^2+15
.\end{array}