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 .

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.

Cancel the common factor of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Reorder factors in .

Evaluate (x^2+12x+24)/(x^2+12x+27)*(x^2+9x)/(x^2+10x+16)