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

Math
To divide by a fraction, multiply by its reciprocal.
Factor using the AC method.
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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.
Simplify terms.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply and .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor.
Multiply by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify ((9x)/(x-8)*(x+4)/(x^2+12x+32))÷((3x)/(9x^3-576x))

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