展开 (197pi(e^9-1))/(e^9)

解答

展开

\frac{197 π ( e ^{9} - 1 )}{e ^{9}}

197 π - \frac{197 π}{e ^{9}}

十进制

618.81737 \dots

求解步骤

\frac{197 π ( e ^{9} - 1 )}{e ^{9}}

乘开

197 π (e^{9} - 1) : 197 e^{9} π - 197 π

= \frac{197 e ^{9} π - 197 π}{e ^{9}}

使用分式法则:

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

\frac{197 e ^{9} π - 197 π}{e ^{9}} = \frac{197 e ^{9} π}{e ^{9}} - \frac{197 π}{e ^{9}}

= \frac{197 e ^{9} π}{e ^{9}} - \frac{197 π}{e ^{9}}

消掉

\frac{197 e ^{9} π}{e ^{9}} : 197 π

= 197 π - \frac{197 π}{e ^{9}}

e x p an d \frac{x ^{2} + 2 \cdot x + 3.6}{x ( x + 1 ) ( x + 3.6 )}

e x p an d (- 2)^{2} \cdot (- 2)^{5}

e x p an d e^{3 t} (1 - 3 i) (cos (3 t) + i sin (3 t))

e x p an d \frac{5 ( x - 5 ) ^{2}}{2}

e x p an d (1 + 3 x)^{(\frac{( 1 )}{( 2 )})}