ALGEBRA C1

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Express as a single fraction m - 3 + m+5

                                               6         2

Solution

 

= m - 3 + m+5

      6          2

 

= m - 3 + 3(m+5)              [Since LCM of 6 and 2 is 6]          

            6         

 

= m - 3 + 3m+15               [Since 3(m+5)  = 3m+15]               

            6         

 

= m + 3m + 15- 3

            6         

 

= 4m +  12

         6         

 

= 4(m +  3)

         6         

 

= 2(m +  3)

         3         

 

= 2m +  6       answer

         3         

  

TRY THIS...................

 

Express as a single fraction 4n - 1 + n+1

                                                3          2