展开 (25(4pi-3sqrt(3)))/(96)

解答

展开

\frac{25 ( 4 π - 3 3 )}{96}

\frac{25 π}{24} - \frac{25 3}{32}

十进制

1.91932 \dots

求解步骤

\frac{25 ( 4 π - 3 3 )}{96}

乘开

25 (4 π - 33) : 100 π - 753

= \frac{100 π - 75 3}{96}

使用分式法则:

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

\frac{100 π - 75 3}{96} = \frac{100 π}{96} - \frac{75 3}{96}

= \frac{100 π}{96} - \frac{75 3}{96}

消掉

\frac{100 π}{96} : \frac{25 π}{24}

= \frac{25 π}{24} - \frac{75 3}{96}

消掉

\frac{75 3}{96} : \frac{25 3}{32}

= \frac{25 π}{24} - \frac{25 3}{32}

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e x p an d \frac{[ K x ( x + 1 ) ]}{x ( x + 1 ) ^{2} + 1}

e x p an d - \frac{8 sin ( θ )}{( 2 - cos ( θ ) ) ^{2}}