SOLUTION: solving the problem finding the power of a complex number z=(3+i)^3 I know the answer, i need to see the steps worked out, please

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Question 401565: solving the problem
finding the power of a complex number
z=(3+i)^3
I know the answer, i need to see the steps worked out, please
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
finding the power of a complex number
z = (3+i)^3
that's: (3+i)(3+i)(3+i)
FOIL
(3+i)(3+i)
9 + 3i + 3i + i^2; (i^2 is -1)
9 + 6i - 1
8 + 6i; this is the result of (3+i)^2
:
Now FOIL to get (3+i)^3
(8+6i)(3+i)
24 + 8i + 18i + 6(i^2)
24 + 26i + 6(-1)
24 + 26i - 6
z = 18 + 26i; is the answer
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