Answer
$x^4+3x^2+2$
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+1)(x^2+2)
,$ is
\begin{array}{l}\require{cancel}
x^2(x^2)+x^2(2)+1(x^2)+1(2)
\\\\=
x^4+2x^2+x^2+2
\\\\=
x^4+3x^2+2
.\end{array}
