Reduce each rational expression to lowest

terms. Assume that the variables represent only numbers for which the denominators are nonzero.
(a^2-b^2)/(a-b)

To reduce the rational expression (a^2 - b^2)/(a - b) to its lowest terms, we need to simplify the expression as much as possible.

First, notice that the numerator is a difference of squares: a^2 - b^2 = (a + b)(a - b). Therefore, we can rewrite the expression as:

((a + b)(a - b))/(a - b)

Next, we can cancel out the common factor of (a - b) in the numerator and denominator, resulting in:

(a + b)

So, the reduced expression is just (a + b).