Answer
$-3i$
Work Step by Step
Removing the grouping symbols and then combining the real parts and the imaginary parts, the given expression, $
(12-6i)-(12-3i)
,$ simplifies to
\begin{array}{l}\require{cancel}
12-6i-12+3i
\\\\=
(12-12)+(-6i+3i)
\\\\=
0-3i
\\\\=
-3i
.\end{array}