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.

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

Multiply and .

Combine the numerators over the common denominator.

Apply the distributive property.

Multiply by .

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Add (3y)/(y^2+7y+10)+2/(y+2)