SOLUTION: (3+i)+1/(5+i)

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Question 976549: (3+i)+1/(5+i)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You showed %283%2Bi%29%2B1%2F%285%2Bi%29.

Simplify the second rational expression and then finish simplifying from there.

3%2Bi%2B%281%2F%285%2Bi%29%29%28%285-i%29%2F%285-i%29%29, factor of 1 using conjugate

3%2Bi%2B%285-i%29%2F%2825-i%5E2%29

3%2Bi%2B%285-i%29%2F26

%283%2A26%2B26i%2B5-i%29%2F26

%2878%2B5%2B26i-i%29%2F26

%2883%2B25i%29%2F26 which you can distribute if you want to 83%2F26%2B%2825%2F26%29i.