How Do You Find the Least Common Denominator of Two Rational Expressions?

First, we factor each denominator as much as possible
x²-9 is a difference of squares and factors into (x+3)(x-3)
x+3 cannot be factored
The least common denominator is (x+3) times (x-3) because these are the factors that occur in both of our denominators
Our LCD, (x+3)(x-3), is the same thing as x²-9

1. x²-9 is a difference of squares
1. x²-9 is a difference of squares
1. The least common denominator will contain the maximum number of each factor in the form of a product
2. LCD stands for least common denominator
1. This means that (x+3) will occur only once in the factorization of the least common denominator
1. This means that (x+3) will occur only once in the factorization of the least common denominator
2. LCD stands for least common denominator
1. This means that (x-3) will occur only once in the factorization of the least common denominator
2. LCD stands for least common denominator
1. LCD stands for least common denominator
1. LCD stands for least common denominator
1. LCD stands for least common denominator
1. LCD stands for least common denominator

Find the least common denominator (LCD) for the expression on the right.