Answer
$2-46i$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$, or the product of 2 binomials, and the properties of radicals, the given expression, $
(7-2i)(2-6i)
,$ simplifies to
\begin{array}{l}\require{cancel}
7(2)+7(-6i)-2i(2)-2i(-6i)
\\\\=
14-42i-4i+12i^2
\\\\=
14-46i+12(-1)
\\\\=
14-46i-12
\\\\=
2-46i
.\end{array}
