Simplify the rational expression .

A common error in a solution such as this is to cancel m from the numerator and the denominator. You cannot do this because m is not a factor in either the numerator or the denominator. Rather, m is a term of the binomial. To cancel the factor m – 3, you would need another m – 3 in the denominator. Similarly, to cancel the factor m – 2, you would need another m – 2 in the numerator.