Question 61174
(1-3i)/(3+2i)
{{{((1-3i)(3-2i)/(3+2i)(3-2i))}}}
{{{( (3-2i-9i+6i^2)/(9-6i+6i-4i^2))}}} [Use the FOIL method to multiply.  Remember that i^2=-1]
.
{{{( (3-11i+6i^2)/(9-4i^2))}}} [simplify]
{{{( (3-11i+6(-1))/(9-4(-1)))}}}[i^2=-1]
 {{{( (3-11i-6))/(9+4)))}}}
{{{( (-3-11i))/(13)))}}}