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

To divide by a fraction, multiply by its reciprocal.
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 out of .
Factor out of .
Factor out of .
Factor out of .
Simplify the denominator.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of .
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))

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