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May 21st

May 21st

# Multiplying Rational Expressions

After studying this lesson, you will be able to:

• Multiply rational expressions.

Steps to multiply a rational expression:

1. Cancel numerator to denominator if possible (don't cancel parts of a binomial or trinomial)

2. Factor the numerators and denominators if possible.

3. Multiply straight across - remember, you don't need a common denominator to multiply fractions (or rational expressions).

Example 1

 Nothing will cancel. Nothing will factor. All we have to do is multiply. This is the simplified answer.

Algebra Buster software can easily solve any algebra problem including multiplying rational expressions such as this one. See how Algebra Buster solves a similar problem

Example 2

 We can do some canceling and reducing in this problem.2 and 16 reduces; 9 and 3 reduces, reduce the variables. Now, we multiply. This is the simplified expression.

Example 3

 We can reduce 12 and 3 and reduce the variables Now, factor the second denominator. Cancel the identical binomials (x + 5 ) This is the simplified expression.

Algebra Buster software will show you all the steps and explanations if you need them. Here are some examples. Our software actually helps you learn Algebra so there is no need to hire an expensive tutor.

Example 4

 Factor Cancel the identical binomials. This is the simplified expression.

Example 5

 Factor Cancel the identical binomials. This is the simplified expression.

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