SOLUTION: (2+3i)^3

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Question 10324: (2+3i)^3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2B3i%29%5E3+=+%282%2B3i%29%282%2B3i%29%282%2B3i%29 Multiply the first pair of parentheses.
%282%2B3i%29%282%2B3i%29+=+%284%2B6i%2B6i%2B9i%5E2%29 But, i%5E2+=+-1
%282%2B3i%29%282%2B3i%29+=+4%2B12i%2B9%28-1%29%29 = 4%2B12i-9+=+-5%2B12i Now multiply this by (2+3i)
%28-5%2B12i%29%282%2B3i%29+=+-10-15i%2B24i%2B36i%5E2 Simplify.
%282%2B3i%29%5E3+=+-46%2B9i