Answer
$-4+7i$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
(4+5i)+(-8+2i)
,$ remove the grouping symbols. Then combine the real parts and the imaginary parts.
$\bf{\text{Solution Details:}}$
Removing the grouping symbols, the given expression is equivalent to
\begin{array}{l}\require{cancel}
4+5i-8+2i
.\end{array}
Combining the real parts and the imaginary parts results to
\begin{array}{l}\require{cancel}
(4-8)+(5i+2i)
\\\\=
-4+7i
.\end{array}
