Question 33508
1st: If you do the problem using long division you get 
Quotient = a^2-b^2 and a Remainder of 2b^2/(a^2+b^2).

2nd: (3+2i)/(3-2i)
Multiply numerator and denominator by (3+2i) to get:
(3+2i)^2/(9+4)
=[9-4+12i]/13
=[5+12i]/13
=(5/13)+(12/13)i
Cheers,
Stan H.