Answer
$6x^4+17x^2-14$
Work Step by Step
Using the FOIL method, the given expression, $
(2x^2+7)(3x^2-2)
,$ is equivalent to
\begin{array}{l}\require{cancel}
2x^2(3x^2)+2x^2(-2)+7(3x^2)+7(-2)
\\\\=
6x^4-4x^2+21x^2-14
\\\\=
6x^4+17x^2-14
.\end{array}