Question 75961
<pre>

5a – 12                  3a – 2  
________________  -  _________________    
a^2 – 8a + 15          a^2 – 8a + 15

Notice that the denominators are the same so we add or subtract 
the numerator right away



             5a – 12  - (3a – 2)  
           _______________________  
               a^2 – 8a + 15    

 

             5a – 12  - 3a + 2  
           _______________________  
               a^2 – 8a + 15    

      


                  2a – 10  
           _______________________  
               a^2 – 8a + 15    




                  2(a - 5)
              ________________
               (a - 5)(a + 3)




                  2 {{{cross (a - 5)}}}
              ________________
               {{{cross (a - 5)}}}(a + 3)




                  2
             __________
                a + 3




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