SOLUTION: How do I put this....(a+bi)^3.....in this answer form.... (a+bi)^3=______ + ______ i.

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Question 17155: How do I put this....(a+bi)^3.....in this answer form....
(a+bi)^3=______ + ______ i.
Answer by kapilsinghi(68) About Me  (Show Source):
You can put this solution on YOUR website!
(a+bi)^3
= a^3 + (bi)^3 + 3a(bi)^2 + 3bi(a)^2
= a^3 - ib^3 - 3a(b)^2 + i3b(a)^2
= a^3 - 3a(b)^2 + i3b(a)^2 - ib^3
= (a^3 - 3a(b)^2) + i(3b(a)^2 - b^3)
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