Answer
$3+9i$
Work Step by Step
Removing the grouping symbols, the given expression, $
(9+7i)-(6-2i)
,$ is equivalent to
\begin{align*}
&
9+7i-6+2i
\\&=
(9-6)+(7i+2i)
&\text{ (combine like terms)}
\\&=
3+(9i)
\\&=
3+9i
.\end{align*}
Hence, the given expression simplifies to $
3+9i
$.
