What is 1/(5-3i)-1/(5+3i) ?

The solution to 1/(5-3i)-1/(5+3i) is 3/17 i

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simplify 1/(5-3i)-1/(5+3i)

simplify

\frac{1}{5 - 3 i} - \frac{1}{5 + 3 i}

\frac{3}{17} i

Solution steps

\frac{1}{5 - 3 i} - \frac{1}{5 + 3 i}

\frac{1}{5 - 3 i} = \frac{5 + 3 i}{34}

\frac{1}{5 + 3 i} = \frac{5 - 3 i}{34}

= \frac{5 + 3 i}{34} - \frac{5 - 3 i}{34}

Join

\frac{5 + 3 i}{34} - \frac{5 - 3 i}{34} : \frac{3 i}{17}

= \frac{3 i}{17}

Rewrite in standard complex form:

\frac{3}{17} i

= \frac{3}{17} i

(4 + 7 i) - (3 + 2 i)

- 575 - 147

(- 3) (- 8)

\frac{sin ( 2 x )}{1 + sin ( 2 x )}

∣ - 3 - 2 ∣