# Simplify x/(x^2+3x+2)-1/((x+2)(x+1))

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.
Combine into one fraction.
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify x/(x^2+3x+2)-1/((x+2)(x+1))