Simplify the denominator.

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Factor using the perfect square rule.

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Apply the distributive property.

Multiply by .

Move to the left of .

Apply the distributive property.

Multiply by .

Subtract from .

Subtract x/(x^2-36)-1/(x^2-12x+36)