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\frac{\frac{1}{x}\left(x-1\right)}{x^{-2}\left(x-1\right)\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{\frac{1}{x}}{x^{-2}\left(x+1\right)}
Cancel out x-1 in both numerator and denominator.
\frac{x^{1}}{x+1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{x}{x+1}
Expand the expression.
\frac{\frac{1}{x}\left(x-1\right)}{x^{-2}\left(x-1\right)\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{\frac{1}{x}}{x^{-2}\left(x+1\right)}
Cancel out x-1 in both numerator and denominator.
\frac{x^{1}}{x+1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{x}{x+1}
Expand the expression.