Answer
$5+12i$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $
(3+2i)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
(3)^2+2(3)(2i)+(2i)^2
\\\\=
9+12i+4i^2
\\\\=
9+12i+4(-1)
\\\\=
9+12i-4
\\\\=
5+12i
.\end{array}