Simplify (x^2-5x-24)/(6x+2x^2)*(5x^2)/(8-x)

Math
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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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
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 and .
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Factor out of .
Rewrite as .
Factor out of .
Reorder terms.
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
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Reorder terms.
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Multiply by .
Move the negative in front of the fraction.
Simplify (x^2-5x-24)/(6x+2x^2)*(5x^2)/(8-x)

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