MODERATE EXERCISES

(1)  Express as a single fraction.

 (a)   2       1
     ----- + 3---
      x     

 (b)                   2x2
     2 - --------
                   

 (c) 

 (a)    2       1      2      3
      ----- + 3--- = ----- + ---
       x        x    

         2       3     x
     = ----- +  --- * ---
        x         x

         2      3x
     = ----- + -----
        x    x

         3x + 2
     = -----------
           x


(b) 	               2x2
     2 - --------
                   

		         2x2
     = 2* --------- - ---------
		      

        2(x2 + 1)       2x2
     = ----------- - ---------
          

         2x2 + 2        2x2
     = ----------- - ---------
          

         2x2 + 2 - 2x2
     = ----------------
           

          2
     = -------
      


 (c)          25
     4 - -----
             

                      25
      = 4 * ----- - -----
                     

         4     25
      = --------- - -----
                  

         4 - 25
      = ---------------