SOLUTION: I need help to resolve Multiply (1/2 + i)^2

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Question 178489: I need help to resolve
Multiply (1/2 + i)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F2+%2B+i%29%5E2 Start with the given expression.


%281%2F2+%2B+i%29%2A%281%2F2+%2B+i%29 Expand.


%281%2F2%29%281%2F2%29%2B%281%2F2%29%28i%29%2B%28i%29%281%2F2%29%2B%28i%29%28i%29 FOIL.


1%2F4%2B%281%2F2%29i%2B%281%2F2%29i%2Bi%5E2 Multiply.


1%2F4%2B%281%2F2%29i%2B%281%2F2%29i%2B1%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


1%2F4%2B%281%2F2%29i%2B%281%2F2%29i-1 Multiply.


-3%2F4%2Bi Combine like terms.


So %281%2F2+%2B+i%29%5E2=-3%2F4%2Bi.