What is 1/(1+2i)+1/(1+5i) ?

The solution to 1/(1+2i)+1/(1+5i) is 31/130-77/130 i

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simplify 1/(1+2i)+1/(1+5i)

simplify

\frac{1}{1 + 2 i} + \frac{1}{1 + 5 i}

\frac{31}{130} - \frac{77}{130} i

Solution steps

\frac{1}{1 + 2 i} + \frac{1}{1 + 5 i}

\frac{1}{1 + 2 i} = \frac{1 - 2 i}{5}

\frac{1}{1 + 5 i} = \frac{1 - 5 i}{26}

= \frac{1 - 2 i}{5} + \frac{1 - 5 i}{26}

Join

\frac{1 - 2 i}{5} + \frac{1 - 5 i}{26} : \frac{- 77 i + 31}{130}

= \frac{- 77 i + 31}{130}

Rewrite in standard complex form:

\frac{31}{130} - \frac{77}{130} i

= \frac{31}{130} - \frac{77}{130} i

- \frac{104}{48}

\frac{5}{9} - \frac{3}{9}

5 (2 a)^{2} - (2 a) + 3

- (\frac{1}{8})^{- \frac{4}{3}}

(8 u)^{2}

What is 1/(1+2i)+1/(1+5i) ?
The solution to 1/(1+2i)+1/(1+5i) is 31/130-77/130 i