展开 pi/(12)(3Rh^2-h^3)

解答

展开

\frac{π}{12} (3 R h^{2} - h^{3})

\frac{π R h ^{2}}{4} - \frac{π h ^{3}}{12}

求解步骤

\frac{π}{12} (3 R h^{2} - h^{3})

使用分配律:

a (b - c) = ab - a c

a = \frac{π}{12}, b = 3 R h^{2}, c = h^{3}

= \frac{π}{12} \cdot 3 R h^{2} - \frac{π}{12} h^{3}

= 3 \cdot \frac{π}{12} R h^{2} - \frac{π}{12} h^{3}

化简

3 \cdot \frac{π}{12} R h^{2} - \frac{π}{12} h^{3} : \frac{π R h ^{2}}{4} - \frac{π h ^{3}}{12}

= \frac{π R h ^{2}}{4} - \frac{π h ^{3}}{12}

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

e x p an d (x^{3} - 2 x^{2} + \frac{π}{4}) (x^{2} - e) + x^{3} - 5 x + 7

e x p an d 5!

e x p an d \frac{( x + 1 ) ^{3}}{x ^{5}}

e x p an d 4 (2 x - 8 = 6 (10 - 2 x))