How to multiply and divide rational expressions?
Examples, videos, worksheets, solutions, and activities to help Algebra students learn how to multiply and divide rational expressions. How to multiply rational expressions? 1. Completely factor the expressions in the numerator and denominator 2. Reduce the fractions by canceling any similar factors that are in the numerator and denominator 3.
How to simplify rational expressions?
A rational expression is considered simplified if there are no common factors in its numerator and denominator. We use the Equivalent Fractions Property to simplify numerical fractions. We restate it here as we will also use it to simplify rational expressions.
How do you factor a rational expression?
Typically, rational expressions will not be given in factored form. In this case, first factor all numerators and denominators completely. Next, multiply and cancel any common factors, if there are any. Factor the denominator x2 ? 25 as a difference of squares. Then multiply and cancel.
What is the domain of rational expressions?
The domain is all real numbers excluding the values found in Step 2. This page titled 3.2: Multiply and Divide Rational Expressions is shared under a CC BY license and was authored, remixed, and/or curated by OpenStax.