展开 (5(e^{10}-2))/(34)

解答

展开

\frac{5 ( e ^{10} - 2 )}{34}

\frac{5 e ^{10}}{34} - \frac{5}{17}

十进制

3238.89202 \dots

求解步骤

\frac{5 ( e ^{10} - 2 )}{34}

乘开

5 (e^{10} - 2) : 5 e^{10} - 10

= \frac{5 e ^{10} - 10}{34}

使用分式法则:

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

\frac{5 e ^{10} - 10}{34} = \frac{5 e ^{10}}{34} - \frac{10}{34}

= \frac{5 e ^{10}}{34} - \frac{10}{34}

消掉

\frac{10}{34} : \frac{5}{17}

= \frac{5 e ^{10}}{34} - \frac{5}{17}

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