Simplify (3c^2-5c-2)/(6c^2)*(4c^2-8c)/(c^2-4c+4)

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, .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor using the perfect square rule.
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Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Simplify terms.
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Cancel the common factor of .
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Move to the left of .
Simplify (3c^2-5c-2)/(6c^2)*(4c^2-8c)/(c^2-4c+4)

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