Question 68372
Simplify : {{{(3i - 6)/(-2i + 1)}}}
<br>1.Multiply 1 + 2i both sides
 {{{(3i - 6)/(1 - 2i)}}} * {{{(1+2i)/(1+2i)}}}

<br>2. Use Distributive Property 
{{{(3i - 6i^2 - 6 + 12i)/(1 - 4i^2)}}}
<br>3. Note {{{i^2 = (-1)}}} 
{{{(6 + 15i - 6)/(1 + 4)}}}
<br>4. Combine like terms
 {{{ 15i/5)}}}
<br> Answer:
{{{highlight (3i)}}}