SOLUTION: Good evening sir, please sir help me up with this problem 1 by 3 plus 3i whole cube is the question sir

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Question 759524: Good evening sir,

please sir help me up with this problem
1 by 3 plus 3i whole cube is the question sir
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
if you mean this:

%281%2F%28+3+%2B3i%29%29%5E3, then

1%2F%28%28+3+%2B3i%29%28+3+%2B3i%29%28+3+%2B3i%29%29......multiply denominator

1%2F%28%28+3%5E2+%2B3%2A3i%2B3i%2A3+%2B%283i%29%5E2%29%28+3+%2B3i%29%29

1%2F%28%289%2B9i%2B9i+%2B9%28-1%29%29%28+3+%2B3i%29%29

1%2F%28%289%2B18i+-9%29%28+3+%2B3i%29%29

1%2F%2818i+%29%28+3+%2B3i%29%29

1%2F%2854i++%2B54i%5E2%29.......recall that i%5E2=-1

1%2F%2854i++%2B54%28-1%29%29

1%2F%2854i+-54%29

1%2F54%28i+-1%29.....multiply both numerator and denominator by i%2B1 to eliminate i from denominator

1%28i+%2B1%29%2F%2854%28i+-1%29%28i+%2B1%29%29

%28i+%2B1%29%2F%2854%28i%5E2+-1%29%29

%28i+%2B1%29%2F%2854%28-1+-1%29%29

%28i+%2B1%29%2F%2854%28-2%29%29

%28i+%2B1%29%2F-108

+-1%2F108-i%2F108