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

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

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

expand

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

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

Solution steps

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

\frac{2 ( x + 1 )}{x} = \frac{2 x + 2}{x}

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

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

\frac{( s - 1 ) ( s + 1 )}{2 s ^{4}}

\frac{6 x ^{2} - x - 15}{x ( x + 1 ) ( x - 1 )}

14 (2 - 3)

\frac{( 4 - x ) \cdot 9}{13}

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