# Subtract 11/(x^2-11x)-x/(11x-121)

Simplify each term.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply and .
Reorder the factors of .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Rewrite in a factored form.
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.
Cancel the common factor of and .
Rewrite as .
Factor out of .
Factor out of .
Reorder terms.
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
Move to the left of .
Move the negative in front of the fraction.
Subtract 11/(x^2-11x)-x/(11x-121)