What is ((2-4i))/((1+i)) ?

The solution to ((2-4i))/((1+i)) is -1-3i

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simplify ((2-4i))/((1+i))

simplify

\frac{( 2 - 4 i )}{( 1 + i )}

- 1 - 3 i

Solution steps

\frac{2 - 4 i}{1 + i}

Multiply by the conjugate

\frac{1 - i}{1 - i}

= \frac{( 2 - 4 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 2 - 4 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{- 2 - 6 i}{2}

= \frac{- 2 - 6 i}{2}

Apply the fraction rule:

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

= \frac{- 2}{2} + \frac{- 6}{2} i

Simplify

\frac{- 2}{2} + \frac{- 6}{2} i : - 1 - 3 i

= - 1 - 3 i

- 25 + 220

\frac{3}{6} + \frac{3}{8}

ln (2^{2}) - 0.7

(4 m)^{- 2}

\frac{8 ( 0.36 )}{20 ( 1 - 7 e ^{- 6} )}