SOLUTION: Express 3+i/1+2i in the form a+bi where a and b are real numbers. Thanks!

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Question 43565: Express 3+i/1+2i in the form a+bi where a and b are real numbers. Thanks!
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
%283+%2B+i%29%2F%281+%2B+2i%29
..
%28%283+%2B+i%29%281+-+2i%29%29%2F%28%281+%2B+2i%29%281+-+2i%29%29
..
%283+%2B+i+-+6i+-+2%28i%5E2%29%29%2F%281+%2B+2i+-+2i+-+4%28i%5E2%29%29
..
%283+%2B+i+-+6i+-+2%28-1%29%29%2F%281+%2B+2i+-+2i+-+4%28-1%29%29
..
%283+%2B+i+-+6i+%2B+2%29%2F%281+%2B+2i+-+2i+%2B+4%29
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%285+-+5i%29%2F5
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5%2F5+-+5i%2F5
..
1+-+i