What is expand-(3(e^pi-1))/(73e^{3pi)} ?

The solution to expand-(3(e^pi-1))/(73e^{3pi)} is -3/(73e^{2pi)}+3/(73e^{3pi)}

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expand-(3(e^pi-1))/(73e^{3pi)}

expand

- \frac{3 ( e ^{π} - 1 )}{73 e ^{3 π}}

- \frac{3}{73 e ^{2 π}} + \frac{3}{73 e ^{3 π}}

Decimal Notation

- 0.00007 \dots

Solution steps

- \frac{3 ( e ^{π} - 1 )}{73 e ^{3 π}}

Expand

3 (e^{π} - 1) : 3 e^{π} - 3

= - \frac{3 e ^{π} - 3}{73 e ^{3 π}}

Apply the fraction rule:

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

\frac{3 e ^{π} - 3}{73 e ^{3 π}} = - (\frac{3 e ^{π}}{73 e ^{3 π}}) - (- \frac{3}{73 e ^{3 π}})

= - (\frac{3 e ^{π}}{73 e ^{3 π}}) - (- \frac{3}{73 e ^{3 π}})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{3 e ^{π}}{73 e ^{3 π}} + \frac{3}{73 e ^{3 π}}

Cancel

\frac{3 e ^{π}}{73 e ^{3 π}} : \frac{3}{73 e ^{2 π}}

= - \frac{3}{73 e ^{2 π}} + \frac{3}{73 e ^{3 π}}

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What is expand-(3(e^pi-1))/(73e^{3pi)} ?
The solution to expand-(3(e^pi-1))/(73e^{3pi)} is -3/(73e^{2pi)}+3/(73e^{3pi)}