(3+2i)/(1+2i+i^(2))
(3+2i)/(1+2i+i^(2)) =
(3 + 2i)/ (1 + 2i - 1) =
(3 + 2i) / (2i) multiply top/bottom by2i
(6i + 4i^2) / (4i^2) =
(6i - 4) / (-4) =
(4 - 6i) /(4) =
(2 - 3i) / 2 =
1 - (3/2)i