Answer
$10+6i$
Work Step by Step
Removing the grouping symbols, the given expression, $
(12+5i)-(2-i)
,$ is equivalent to
\begin{align*}
12+5i-2+i
.\end{align*}
Combining the real parts and the imaginary parts, the expression above is equivalent to
\begin{align*}
&
(12-2)+(5i+i)
\\&=
10+6i
.\end{align*}
Hence, the simplified form of the given expression is $
10+6i
$.
