展开 (20(-1+e^2))/e

解答

展开

\frac{20 ( - 1 + e ^{2} )}{e}

- \frac{20}{e} + 20 e

十进制

47.00804 \dots

求解步骤

\frac{20 ( - 1 + e ^{2} )}{e}

乘开

20 (- 1 + e^{2}) : - 20 + 20 e^{2}

= \frac{- 20 + 20 e ^{2}}{e}

使用分式法则:

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

\frac{- 20 + 20 e ^{2}}{e} = - \frac{20}{e} + \frac{20 e ^{2}}{e}

= - \frac{20}{e} + \frac{20 e ^{2}}{e}

消掉

\frac{20 e ^{2}}{e} : 20 e

= - \frac{20}{e} + 20 e

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