What is expand (-e^2-2(-e-1))/(e^{e+3)} ?

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

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expand (-e^2-2(-e-1))/(e^{e+3)}

expand

\frac{- e ^{2} - 2 ( - e - 1 )}{e ^{e + 3}}

- \frac{1}{e ^{e + 1}} + \frac{2}{e ^{e + 2}} + \frac{2}{e ^{e + 3}}

Decimal Notation

0.00015 \dots

Solution steps

\frac{- e ^{2} - 2 ( - e - 1 )}{e ^{e + 3}}

Expand

- e^{2} - 2 (- e - 1) : - e^{2} + 2 e + 2

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

Apply the fraction rule:

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

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

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

Cancel

\frac{e ^{2}}{e ^{e + 3}} : \frac{1}{e ^{e + 1}}

= - \frac{1}{e ^{e + 1}} + \frac{2 e}{e ^{e + 3}} + \frac{2}{e ^{e + 3}}

Cancel

\frac{2 e}{e ^{e + 3}} : \frac{2}{e ^{e + 2}}

= - \frac{1}{e ^{e + 1}} + \frac{2}{e ^{e + 2}} + \frac{2}{e ^{e + 3}}

e^{e^{x} + x} (e^{x} + 1)

\frac{( 2 n + 1 ) x ^{2 n}}{( 2 n + 1 ) !}

\frac{e ^{x}}{( e ^{x} - e ^{2} ) ^{2}}

\frac{1}{( 1 - i w ) ^{2}}

e^{π 2 (1 + i)}

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