展开 (pi(7-sqrt(13)))/(36)(e^{729}-1)

解答

展开

\frac{π ( 7 - 13 )}{36} (e^{729} - 1)

\frac{7 e ^{729} π}{36} - \frac{13 e ^{729} π}{36} - \frac{7 π}{36} + \frac{13 π}{36}

求解步骤

\frac{π ( 7 - 13 )}{36} (e^{729} - 1)

使用分配律:

a (b - c) = ab - a c

a = \frac{π ( 7 - 13 )}{36}, b = e^{729}, c = 1

= \frac{π ( 7 - 13 )}{36} e^{729} - \frac{π ( 7 - 13 )}{36} \cdot 1

= e^{729} \frac{π ( 7 - 13 )}{36} - 1 \cdot \frac{π ( 7 - 13 )}{36}

化简

e^{729} \frac{π ( 7 - 13 )}{36} - 1 \cdot \frac{π ( 7 - 13 )}{36} : \frac{7 e ^{729} π}{36} - \frac{13 e ^{729} π}{36} - \frac{7 π}{36} + \frac{13 π}{36}

= \frac{7 e ^{729} π}{36} - \frac{13 e ^{729} π}{36} - \frac{7 π}{36} + \frac{13 π}{36}

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