To divide by a fraction, multiply by its reciprocal.

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 out of .

Factor out of .

Factor out of .

Rewrite as .

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

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Move to the left of .

Divide ((x^2-5x+6)/(x+1))÷((x^2-9)/(3x-3))