Multiplication

Multiplying Rational Expressions

The review of multiplying fractions is useful because multiplying rational expressions works the same way. You will also need to use the steps from simplifying rational expressions.

Example Multiply the following rational expression.

Step 1. Factor completely. (Factor a 3 out of the trinomial, and then factor the trinomial and the remaining expressions).

Step 2. Cancel the common factors (even across different fractions).

Step 3. Rewrite.

(Answer)

*Note: the numerator could be written as , but it is easier to work with in factored form.