Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

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

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Apply the distributive property.

Rewrite using the commutative property of multiplication.

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

Subtract (x^2-14x+33)/(x^2-6x-55)-5/(3x^2+15x)