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.

Frac1

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

Frac2

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

Cancel

Step 3. Rewrite.

Answer (Answer)

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