# Multiply (y^2-2y-8)/(5y^3-3y^2)*(25y^3-9y)/(4y-16)

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 numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify terms.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Move to the left of .
Multiply (y^2-2y-8)/(5y^3-3y^2)*(25y^3-9y)/(4y-16)

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