Reduce ((2x^3)/(2y^2-7y-4))÷((6x^5)/(x^2-y^2))*(12-3y)/(x-y)

Math
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Multiply by .
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Factor out of .
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.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Cancel the common factor of and .
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Rewrite as .
Factor out of .
Factor out of .
Reorder terms.
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Move to the left of .
Move the negative in front of the fraction.
Reorder factors in .
Reduce ((2x^3)/(2y^2-7y-4))÷((6x^5)/(x^2-y^2))*(12-3y)/(x-y)
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