Simplify the denominator.

Rewrite as .

Rewrite as .

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

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.

Move to the left of .

Apply the distributive property.

Multiply by .

Multiply by .

Subtract (x^4)/(9x^2-16)-7/(12x-16)