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 .

Multiply and .

Multiply and .

Reorder the factors of .

Reorder the factors of .

Combine the numerators over the common denominator.

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 .

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)