展开 3((3pi)/2-(9sqrt(3))/4)

解答

展开

3 (\frac{3 π}{2} - \frac{9 3}{4})

\frac{9 π}{2} - \frac{27 3}{4}

十进制

2.44582 \dots

求解步骤

3 (\frac{3 π}{2} - \frac{9 3}{4})

使用分配律:

a (b - c) = ab - a c

a = 3, b = \frac{3 π}{2}, c = \frac{9 3}{4}

= 3 \cdot \frac{3 π}{2} - 3 \cdot \frac{9 3}{4}

化简

3 \cdot \frac{3 π}{2} - 3 \cdot \frac{9 3}{4} : \frac{9 π}{2} - \frac{27 3}{4}

= \frac{9 π}{2} - \frac{27 3}{4}

e x p an d (7 - \frac{x ^{2}}{2})^{2}

e x p an d \frac{6}{( s ^{2} + 9 ) ^{2}}

s im pl i f y (\frac{1}{2 x} + 4) (\frac{1}{2 x} - 8)

e x p an d 2 π^{4} - 2 π^{4} cos (θ) + π^{4} sin (2 (1 - cos (θ)))

e x p an d \frac{d ^{2}}{d ^{2} x} (x^{2} + y^{2} = a^{2})