What is 2/((x-1/x))-((1/x))/((1-1/x)) ?

The solution to 2/((x-1/x))-((1/x))/((1-1/x)) is (2x)/(x^2-1)-1/(x-1)

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simplify 2/((x-1/x))-((1/x))/((1-1/x))

simplify

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

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

Solution steps

\frac{2}{x - \frac{1}{x}} - \frac{\frac{1}{x}}{1 - \frac{1}{x}}

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

\frac{\frac{1}{x}}{1 - \frac{1}{x}} = \frac{1}{x - 1}

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

[\frac{( 27 x ^{7} \cdot y ^{3} )}{( 3 x ^{3} \cdot y )}]^{\frac{1}{2}}

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

8 x^{3} - (2 x - y)^{3}

x^{29} - x^{24} + x^{13} - 1

(\frac{x y + 1}{2})^{3}

What is 2/((x-1/x))-((1/x))/((1-1/x)) ?
The solution to 2/((x-1/x))-((1/x))/((1-1/x)) is (2x)/(x^2-1)-1/(x-1)