Answer
$10p^4+30p^3-8p^2-24p$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(2p^2+6p)(5p^2-4)
,$ is
\begin{array}{l}\require{cancel}
2p^2(5p^2)+2p^2(-4)+6p(5p^2)+6p(-4)
\\\\=
10p^4-8p^2+30p^3-24p
\\\\=
10p^4+30p^3-8p^2-24p
.\end{array}