# Simplify (x/36-1/x)/(1-6/x)

Multiply the numerator and denominator of the complex fraction by .
Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Simplify the numerator.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify the denominator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify (x/36-1/x)/(1-6/x)