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

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

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expand (e^x-2)/((1-e^{-x))^2}

expand

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

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

Solution steps

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

(1 - e^{- x})^{2} = 1 - 2 e^{- x} + e^{- 2 x}

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

\frac{d}{d x} ((x^{2} - 2)^{- 3})

\frac{\partial}{\partial x} (\frac{1}{2 y})

\int - x e^{- x^{2}} d x

f (x) = x^{2} + x, at x = - 2

2 x \frac{d y}{d x} = y

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