Objective: Multiply and Divide Rational Expressions
The procedures for multiplying and dividing rational expressions relate directly to the proceduces for multiplying and dividing fractions. To multiply fractions, multiply the numerators together and the denominators together, and also remove common factors in order to simply the fraction. And remember that when multiplying fractions it is often wise to remove common factors from the numerator and denominator prior to multiplying. This is sometimes referred to as "cancelling common factors." To multiply rational expressions, these same rules apply. However, in order to cancel commons factors in rational expressions, one must first factor all polynomials. Watch the video to see this process performed.
Dividing rational expressions is very similar to multiplication. To divide rational expressions, rewrite the expression as a multiplication problem just like you previously learned how to do when working with fractions. Keep the first rational expression, change the operation from division to multiplication, and then write the reciprocal of the second rational expression. Then you can multiply the expressions together. Watch the short video below.
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.