SOLUTION: Perform the indicated operations and write the answer in the form a+bi where a and b are real. (3+2i)^2 and i^3-i^2

Algebra ->  Expressions -> SOLUTION: Perform the indicated operations and write the answer in the form a+bi where a and b are real. (3+2i)^2 and i^3-i^2      Log On


   

Question 483728: Perform the indicated operations and write the answer in the form a+bi where a and b are real.
(3+2i)^2
and
i^3-i^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2B2i%29%5E2

3%5E2%2B6%2A2i%2B%282i%29%5E2
9%2B12i%2B4%28i%29%5E2....recall that %28i%29%5E2=-1
9%2B12i%2B4%28-1%29
9%2B12i-4
5%2B12i
and
i%5E3-i%5E2
i%5E2%2Ai-i%5E2

-1%2Ai-%28-1%29
-i%2B1