Answer
$6+4i$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
2i(2-3i)
,$ use the Distributive Property and the equivalence $i^2=-1.$
$\bf{\text{Solution Details:}}$
Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
2i(2)+2i(-3i)
\\\\=
4i-6i^2
.\end{array}
Since $i^2=-1,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
4i-6(-1)
\\\\=
4i+6
\\\\=
6+4i
.\end{array}
