Answer
$6+10i$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
2i(5-3i)
,$ is equivalent to
\begin{align*}
&
2i(5)+2i(-3i)
\\&=
10i-6i^2
.\end{align*}
Since $i^2=-1,$ the expression above is equivalent to
\begin{align*}
&
10i-6(-1)
\\&=
10i+6
\\&=
6+10i
.\end{align*}
Hence, the simplified form of the given expression is $
6+10i
$.
