展开 (18(-e-6sqrt(2)-2))/(e^2)

解答

展开

\frac{18 ( - e - 6 2 - 2 )}{e ^{2}}

- \frac{18}{e} - \frac{108 2}{e ^{2}} - \frac{36}{e ^{2}}

十进制

- 32.16434 \dots

求解步骤

\frac{18 ( - e - 6 2 - 2 )}{e ^{2}}

乘开

18 (- e - 62 - 2) : - 18 e - 1082 - 36

= \frac{- 18 e - 108 2 - 36}{e ^{2}}

使用分式法则:

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

\frac{- 18 e - 108 2 - 36}{e ^{2}} = - \frac{18 e}{e ^{2}} - \frac{108 2}{e ^{2}} - \frac{36}{e ^{2}}

= - \frac{18 e}{e ^{2}} - \frac{108 2}{e ^{2}} - \frac{36}{e ^{2}}

消掉

\frac{18 e}{e ^{2}} : \frac{18}{e}

= - \frac{18}{e} - \frac{108 2}{e ^{2}} - \frac{36}{e ^{2}}

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