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