展开 ((4-3i)^6)/6

解答

展开

\frac{( 4 - 3 i ) ^{6}}{6}

- \frac{11753}{6} + 1716 i

求解步骤

\frac{( 4 - 3 i ) ^{6}}{6}

(4 - 3 i)^{6} = - 11753 + 10296 i

= \frac{( - 11753 + 10296 i )}{6}

去除括号:

(- a) = - a

= \frac{- 11753 + 10296 i}{6}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 11753 + 10296 i}{6} = - \frac{11753}{6} + \frac{10296 i}{6}

= - \frac{11753}{6} + \frac{10296 i}{6}

数字相除:

\frac{10296}{6} = 1716

= - \frac{11753}{6} + 1716 i

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