SOLUTION: simplify the following quotient of complex numbers into the form a+bi: ( -9+8i)/(1+2i)

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Question 551556: simplify the following quotient of complex numbers into the form a+bi: ( -9+8i)/(1+2i)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28-9%2B8i%29%29%2F%28%281%2B2i%29%29
Multiply by the conjugate of the denominator over itself (same a multiplying by 1), FOIL
%28%28-9%2B8i%29%29%2F%28%281%2B2i%29%29 * %28%281-2i%29%29%2F%28%281-2i%29%29 = %28%28-9%2B18i%2B8i-16%28i%5E2%29%29%29%2F%28%281-2i%2B21-4%28i%5E2%29%29%29
combine like terms, i^2 = -1
%28%28-9%2B26i%2B16%29%29%2F%28%281%2B4%29%29 = %28%287%2B26i%29%29%2F5 or 7%2F5+26%2F5i