Answer
$7-3i$
Work Step by Step
Removing the grouping symbols, the given expression, $
(4-2i)-(-3+i)
,$ is equivalent to
\begin{align*}
4-2i+3-i
.\end{align*}
Combining the real parts and the imaginary parts, the expression above is equivalent to
\begin{align*}
&
(4+3)+(-2i-i)
\\&=
7+(-3i)
\\&=
7-3i
.\end{align*}
Hence, the simplified form of the given expression is $
7-3i
$.
