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

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

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expand (e^x)/((1-e^x)^2dx)

expand

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

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

Solution steps

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

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

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

Expand

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

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

(8 x^{2} + 4 y) x^{2} + y^{2} = 1

\frac{h ( α - ρ )}{α}

3 w^{2} (2 w^{2})

\frac{( 3 + i ) ^{4}}{81}

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

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