simplify 8/(-4-2i)

Solution

simplify

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

- \frac{8}{5} + \frac{4}{5} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{8 ( - 4 + 2 i )}{( - 4 - 2 i ) ( - 4 + 2 i )} : \frac{- 32 + 16 i}{20}

= \frac{- 32 + 16 i}{20}

Apply the fraction rule:

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

= \frac{- 32}{20} + \frac{16}{20} i

Simplify

\frac{- 32}{20} + \frac{16}{20} i : - \frac{8}{5} + \frac{4}{5} i

= - \frac{8}{5} + \frac{4}{5} i

3 x^{3} - 9 x

\frac{1}{( 0.06 + \frac{0.94}{17} )}

\frac{3}{7} = \frac{h}{14} - \frac{2}{7}

a^{2} + a^{2}

\frac{1}{4} \cdot 9