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Some of the content of this guide was modeled after a guide originally created by the Openstax and has been adapted for the GPRC Learning Commons in September 2020. This work is licensed under a Creative Commons BY 4.0 International License.

Multiplying Rational Expressions: 

The procedure of multiplying rational expressions is similar to multiplying numerical fractions. We multiply the numerators which each other and the denominators with each other. We then simplify the result if possible. 
Example: Multiply . State the non-permissible values.
Step 1) We multiply the numerators together and the denominators together:

Step 2) We simplify the result. To do so, we factor the numerator and the denominator:

where we have used the following expressions:

now, we simplify:

To find the non-permissible values, we have to set the denominator of the original result of multiplication equal to zero and solve for x. 


since we have the product of two terms, we have to set each term equal to zero and solve for zero

Hence, the non-permissible values are
Example: Multiply. State the non-permissible values.
Step 1) We multiply numerators together and denominators together


Step 2) We simplify the result


We set the denominator of the original fraction equal to zero and solve for x to find the non-permissible values

Therefore, the non-permissible values are 
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