What is (8-10i)/(2+4i) ?

The solution to (8-10i)/(2+4i) is -6/5-13/5 i

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simplify (8-10i)/(2+4i)

simplify

\frac{8 - 10 i}{2 + 4 i}

- \frac{6}{5} - \frac{13}{5} i

Solution steps

\frac{8 - 10 i}{2 + 4 i}

Multiply by the conjugate

\frac{2 - 4 i}{2 - 4 i}

= \frac{( 8 - 10 i ) ( 2 - 4 i )}{( 2 + 4 i ) ( 2 - 4 i )}

Simplify

\frac{( 8 - 10 i ) ( 2 - 4 i )}{( 2 + 4 i ) ( 2 - 4 i )} : \frac{- 24 - 52 i}{20}

= \frac{- 24 - 52 i}{20}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 24}{20} + \frac{- 52}{20} i

Simplify

\frac{- 24}{20} + \frac{- 52}{20} i : - \frac{6}{5} - \frac{13}{5} i

= - \frac{6}{5} - \frac{13}{5} i

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

(2 t + \frac{1}{t ^{2}})^{10}

\frac{\frac{1}{3} - 2}{5 + \frac{1}{2}}

8 \cdot 60

8 (sin (x) cos (x))^{2} + cos (4 x)