What is expand (pi(e^3-1))/(3e^3) ?

The solution to expand (pi(e^3-1))/(3e^3) is pi/3-pi/(3e^3)

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expand (pi(e^3-1))/(3e^3)

expand

\frac{π ( e ^{3} - 1 )}{3 e ^{3}}

\frac{π}{3} - \frac{π}{3 e ^{3}}

Solution steps

\frac{π ( e ^{3} - 1 )}{3 e ^{3}}

Expand

π (e^{3} - 1) : e^{3} π - π

= \frac{e ^{3} π - π}{3 e ^{3}}

Apply the fraction rule:

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

\frac{e ^{3} π - π}{3 e ^{3}} = \frac{e ^{3} π}{3 e ^{3}} - \frac{π}{3 e ^{3}}

= \frac{e ^{3} π}{3 e ^{3}} - \frac{π}{3 e ^{3}}

Cancel

\frac{e ^{3} π}{3 e ^{3}} : \frac{π}{3}

= \frac{π}{3} - \frac{π}{3 e ^{3}}

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What is expand (pi(e^3-1))/(3e^3) ?
The solution to expand (pi(e^3-1))/(3e^3) is pi/3-pi/(3e^3)