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

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

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

expand

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

\frac{d x}{e ^{y} + 2 + e ^{- y}}

Solution steps

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

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

= \frac{d x}{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{d x}{e ^{y} + 2 + e ^{- y}}

y^{2} d x + (x^{2} + x y + y^{2}) d y

\frac{450}{( t + 3 ) ^{2}}

\frac{3 - x b}{( x + y ) x}

(2 x^{3} - 5 x + 7) d x

(2 a x + 3 b y + 4 cz) (a x +, - 3 cz)

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