SOLUTION: express in simplest form in terms of i 3-i/1+2i

Algebra ->  Rational-functions -> SOLUTION: express in simplest form in terms of i 3-i/1+2i      Log On


   

Question 1190082: express in simplest form in terms of i
3-i/1+2i
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%283-i%29%2F%281%2B2i%29........rationalize, multiply both numerator and denominator by %281-2i%29

%28%283-i%29%281-2i%29%29%2F%28%281%2B2i%29%281-2i%29%29

%281+-+7i%29%2F%281%5E2-%282i%29%5E2%29

%281+-+7i%29%2F%281-4i%5E2%29..........i%5E2=-1

%281+-+7i%29%2F%281-4%28-1%29%29

%281+-+7i%29%2F%281%2B4%29

%281+-+7i%29%2F5

1%2F5-+7i%2F5