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

Simplify each term.
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 .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
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)