展開する (pi(7-sqrt(13)))/(36)(e^{729}-1)

解

展開する

\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}

解答ステップ

\frac{π ( 7 - 13 )}{36} (e^{729} - 1)

分配法則を適用する:

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}

簡素化

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}