SOLUTION: write the expression as a complex number in standard form (8+i)/(1-2i)

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Question 683232: write the expression as a complex number in standard form
(8+i)/(1-2i)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%288%2Bi%29%2F%281-2i%29
multiply by the conjugate of the denominator over itself
%288%2Bi%29%2F%281-2i%29 * %281%2B2i%29%2F%281%2B2i%29 = %28%288%2Bi%29%281%2B2i%29%29%2F%281+-+4i%5E2%29
FOIL
%28%288+%2B+16i+%2B+1+%2B2i%5E2%29%29%2F%281+-+4%28-1%29%29 = %28%288%2B17i%2B2%28-1%29%29%29%2F%281+%2B+4%29 = %288%2B17i-2%29%2F5 = %286%2B17i%29%2F5
or
6%2F5 + 17%2F5i