展开 (3(4pi+3sqrt(3)))/(400pi)

解答

展开

\frac{3 ( 4 π + 3 3 )}{400 π}

\frac{3}{100} + \frac{9 3}{400 π}

十进制

0.04240 \dots

求解步骤

\frac{3 ( 4 π + 3 3 )}{400 π}

乘开

3 (4 π + 33) : 12 π + 93

= \frac{12 π + 9 3}{400 π}

使用分式法则:

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

\frac{12 π + 9 3}{400 π} = \frac{12 π}{400 π} + \frac{9 3}{400 π}

= \frac{12 π}{400 π} + \frac{9 3}{400 π}

消掉

\frac{12 π}{400 π} : \frac{3}{100}

= \frac{3}{100} + \frac{9 3}{400 π}

e x p an d (a + b) (a + b)

e x p an d (cot (x) - 1)^{2}

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

e x p an d x (x^{3} e^{3 x} + 4)

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