展开 (pi+3(sqrt(3)-2))/(24)

解答

展开

\frac{π + 3 ( 3 - 2 )}{24}

\frac{π}{24} + \frac{3}{8} - \frac{1}{4}

十进制

0.09740 \dots

求解步骤

\frac{π + 3 ( 3 - 2 )}{24}

乘开

π + 3 (3 - 2) : π + 33 - 6

= \frac{π + 3 3 - 6}{24}

使用分式法则:

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

\frac{π + 3 3 - 6}{24} = \frac{π}{24} + \frac{3 3}{24} - \frac{6}{24}

= \frac{π}{24} + \frac{3 3}{24} - \frac{6}{24}

消掉

\frac{3 3}{24} : \frac{3}{8}

= \frac{π}{24} + \frac{3}{8} - \frac{6}{24}

消掉

\frac{6}{24} : \frac{1}{4}

= \frac{π}{24} + \frac{3}{8} - \frac{1}{4}

e x p an d \frac{22 ( 10 h + 2 j - 11 k )}{45}

e x p an d (x - 2)^{8}

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