simplify 4/(-3-6i)

Solution

simplify

\frac{4}{- 3 - 6 i}

- \frac{4}{15} + \frac{8}{15} i

Solution steps

\frac{4}{- 3 - 6 i}

Multiply by the conjugate

\frac{- 3 + 6 i}{- 3 + 6 i}

= \frac{4 ( - 3 + 6 i )}{( - 3 - 6 i ) ( - 3 + 6 i )}

Simplify

\frac{4 ( - 3 + 6 i )}{( - 3 - 6 i ) ( - 3 + 6 i )} : \frac{- 12 + 24 i}{45}

= \frac{- 12 + 24 i}{45}

Apply the fraction rule:

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

= \frac{- 12}{45} + \frac{24}{45} i

Simplify

\frac{- 12}{45} + \frac{24}{45} i : - \frac{4}{15} + \frac{8}{15} i

= - \frac{4}{15} + \frac{8}{15} i

x^{3} - 4 x^{2} - 2 x + 8

81 \frac{1}{4}

(3 a + 5 ab - b) - (- a + 2 ab - 4 b)

\frac{- 4 x - 1}{4 x + 7} - \frac{4 x - 8}{4 x + 7}

lo g_{5} (25) - lo g_{5} (5)