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.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Factor.

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify ((9x)/(x-8)*(x+4)/(x^2+12x+32))÷((3x)/(9x^3-576x))