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

Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Factor out of .
Rewrite as plus
Apply the distributive property.
Multiply by .
Factor out the greatest common factor from each group.
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 .
Factor out of .
Factor out of .
Factor out of .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Factor out 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.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Cancel the common factor of and .
Rewrite as .
Factor out of .
Factor out of .
Reorder terms.
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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)
Scroll to top