Simplify (x-1/x)/(1-1/x)

Math
Multiply the numerator and denominator of the complex fraction by .
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Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
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Cancel the common factor of .
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Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Reduce the expression by cancelling the common factors.
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Multiply by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify (x-1/x)/(1-1/x)

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