Simplifying Rational-Fractional Expressions

             Lesson 1

                                                                                                                       

                                           Problem:   Simplify in the simplest form (x2+5x+6)/(x2-4)

          

                                           Solution    First, factorize each of the two polynomial, cancel out the common factor in both

                                           Step 1:                               

                                      

                                           Solution    Factors of (x2+5x+6) = (x+2)(x+3);Factors of (x2-4) = (x+2)(x-2)             

                                           Step 2:                                                                             

                                                                                 

                                           Solution    (x+2) is common in both cancel it. (x+3)/(x-2) is left out and is answer.

                                           Step 3:        

 

                                           Solution    Answer: (x+3)/(x-2)                   

                                           Step 4:

                                           Complete  

                                                                 

                                           Try two practice problems:   

 

                                                            Simplify in the simplest form                                                                                          

                                             

A.

(x2-25)/(x2+10x+25)

B.

(x3-2x2-5x+6)/(x2-x-6)

 

 

 

 

 

 

 

 

 

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