What is expand pi/(12)(3Rh^2-h^3) ?

The solution to expand pi/(12)(3Rh^2-h^3) is (piRh^2)/4-(pih^3)/(12)

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expand pi/(12)(3Rh^2-h^3)

expand

\frac{π}{12} (3 R h^{2} - h^{3})

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

Solution steps

\frac{π}{12} (3 R h^{2} - h^{3})

Apply the distributive law:

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}

Simplify

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}

\frac{2 ( x - 1 )}{x ^{3}}

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

5!

\frac{( x + 1 ) ^{3}}{x ^{5}}

4 (2 x - 8 = 6 (10 - 2 x))

What is expand pi/(12)(3Rh^2-h^3) ?
The solution to expand pi/(12)(3Rh^2-h^3) is (piRh^2)/4-(pih^3)/(12)