化简 (-32+8i)/(5+3i)

解答

化简

\frac{- 32 + 8 i}{5 + 3 i}

- 4 + 4 i

求解步骤

\frac{- 32 + 8 i}{5 + 3 i}

乘以共轭根式

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

= \frac{( - 32 + 8 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )}

化简

\frac{( - 32 + 8 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{- 136 + 136 i}{34}

= \frac{- 136 + 136 i}{34}

使用分式法则:

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

= \frac{- 136}{34} + \frac{136}{34} i

化简

\frac{- 136}{34} + \frac{136}{34} i : - 4 + 4 i

= - 4 + 4 i

s im pl i f y 5 x y 28 x + 63 x^{3} y^{2}

f = \frac{10 - 3}{1 0 ^{2} - 2}

- 3 w = - \frac{9}{7}

∣ - 4 y + 4 ∣ = ∣ - 5 y - 3 ∣

s im pl i f y (\frac{1}{x ^{\frac{1}{3}}})^{2}