Factor using the AC method.

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 using the AC method.

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.

Move the negative in front of the fraction.

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Multiply and .

Multiply and .

Reorder the factors of .

Reorder the factors of .

Combine the numerators over the common denominator.

Factor out of .

Factor out of .

Factor out of .

Apply the distributive property.

Multiply by .

Subtract from .

Subtract from .

Cancel the common factor of and .

Factor out of .

Rewrite as .

Factor out of .

Rewrite as .

Cancel the common factor.

Rewrite the expression.

Simplify the expression.

Multiply by .

Move the negative in front of the fraction.

Simplify 6/(a^2+8a+15)+-12/(a^2+6a+5)