ADVANCED EXERCISES - Symbol Manipulation

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(1) Simplify each of the following expressions.

 
 (a)     1    -  1
      -------   ---
      (x + h)    x
    -----------------
           h

 (b) (2x - x2) (x2 + 1)
     --------- --------
         x     (2 - x)

 (c)      x       -    1   -   2
     ------------   ------   ------
     (x2 - x - 6)   (x + 2)  (x - 3)
  
 (d)      x  
     -----------
     (x + (1/x))

 (e)  
 

( Click On HINT To Get Some Help , Click On SOLUTION To See The Answer )

(2) Prove the following statements.

 (a) If ab = ac and a does not equal 0, then b = c.

 (b)  a   c     ac
     --- --- = ----, if both b and d do not equal 0.
      b   d     bd

( HINT , SOLUTION )

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