What is expand (2pi(e^5-1))/(3e) ?

The solution to expand (2pi(e^5-1))/(3e) is (2e^4pi)/3-(2pi)/(3e)

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expand (2pi(e^5-1))/(3e)

expand

\frac{2 π ( e ^{5} - 1 )}{3 e}

\frac{2 e ^{4} π}{3} - \frac{2 π}{3 e}

Decimal Notation

113.57961 \dots

Solution steps

\frac{2 π ( e ^{5} - 1 )}{3 e}

Expand

2 π (e^{5} - 1) : 2 e^{5} π - 2 π

= \frac{2 e ^{5} π - 2 π}{3 e}

Apply the fraction rule:

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

\frac{2 e ^{5} π - 2 π}{3 e} = \frac{2 e ^{5} π}{3 e} - \frac{2 π}{3 e}

= \frac{2 e ^{5} π}{3 e} - \frac{2 π}{3 e}

Cancel

\frac{2 e ^{5} π}{3 e} : \frac{2 e ^{4} π}{3}

= \frac{2 e ^{4} π}{3} - \frac{2 π}{3 e}

3 cos (2 (x - 5 0^{\circ})) - 3

\frac{( s ^{2} + 9 s + 7 )}{( s ^{2} + 7 s + 9 ) ( s - 7 ) ^{2}}

- \frac{2 ( s + 1 )}{( s + 2 ) ( 1 - s )}

\frac{9 x}{( x - 1 ) ( x + 2 ) ^{2}}

- \frac{( - 1 ) ^{n} - 1}{π ^{2} n ^{2}}

What is expand (2pi(e^5-1))/(3e) ?
The solution to expand (2pi(e^5-1))/(3e) is (2e^4pi)/3-(2pi)/(3e)