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

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

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

expand

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

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

Solution steps

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

(e^{y} + 1)^{2} = e^{2 y} + 2 e^{y} + 1

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

Expand

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

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

\frac{5 ( 2 x + 3 )}{2 x}

\frac{( 2 ( x ^{2} - 9 ) )}{x ^{2} - 4}

\frac{4 ( - m + 5 )}{3}

(2 x - 3 x^{2}) (7 x^{3} - 3 x)^{'}

(e^{i 2 t} + e^{- i 2 t})^{2}

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