Answer
$40$
Work Step by Step
Using $(a+b)(a-b)=a^2-b^2$ and $i^2=-1$, the given expression, $
(6-2i)(6+2i)
,$ simplifies to
\begin{array}{l}\require{cancel}
(6)^2-(2i)^2
\\\\=
36-4i^2
\\\\=
36-4(-1)
\\\\=
36+4
\\\\=
40
.\end{array}