Lesson 3

The factors of the denominator of a rational expression can be a

• constant
• monomial
• binomial

In any of these cases, consider factoring the denominator to its simplest form to help determine the lowest common denominator.

 

Try This 6

1. Do you think the strategy you have used to add and subtract rational expressions so far will work for rational expressions that have binomials in the denominator? Find out by simplifying the following rational expression.
   
   
    
   
2. Did you need to factor before finding the LCD?
3. Did you add the expressions correctly? Verify your results.
4. Now try simplifying this rational expression.
   
   
    
   
5. Did you need to factor before finding the LCD?
6. Did you subtract the expressions correctly? Verify your results.

Save your responses in your course folder.

 

Share 5

 

With a partner, discuss any differences in your responses to Try This 6. Make any necessary revisions once you both agree on the clearest explanation of the process required.

1. Describe a procedure that can be followed to determine the sum or difference, in simplest form, of rational expressions with different binomial denominators.
2. After verification, did you or your partner need to revise your calculations? Were you able to find your error(s)?

If required, save a record of your discussion in your course folder.