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.

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.

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by .

Move to the left of .

Rewrite as .

Multiply by .

Multiply by .

Add and .

Add and .

Multiply and .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Simplify (x^2-2x-24)/(x^2+7x+12)*(x^2-1)/(x-6)