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 .

Cancel the common factor of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Cancel the common factor of and .

Factor out of .

Rewrite as .

Factor out of .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of and .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Simplify the expression.

Multiply by .

Move the negative in front of the fraction.

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