SOLUTION: how would you begin to solve this problem 1+i over 1+2i + 1-i over 1-2i

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Question 239507: how would you begin to solve this problem 1+i over 1+2i + 1-i over 1-2i
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how would you begin to solve this problem 1+i over 1+2i + 1-i over 1-2i
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Get a common DEN, as with any fraction problem.
CD = (1+2i)*(1-2i) = 5
%281%2Bi%29%2F%281%2B2i%29+%2B+%281-i%29%2F%281-2i%29
= %28%281%2Bi%29%2A%281-2i%29+%2B+%281-i%29%2A%281%2B2i%29%29%2F3
= %281%2B2-i+%2B+1%2B2%2Bi%29%2F3
= 6/3
= 2