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