MODERATE EXERCISES - Symbol Manipulation

(1) Simplify.
   
  (a)     2h 
        -------
        (h + 1)
     -------------
          (h)

 (b) x2(x + sqrt(7))    Where "sqrt" means the square root of
     ---------------
       2x(x4 + x3)

 (c) x(x - 3) (3 + 5x)
             ------------
             (4x(2x - 6))

 (d) (1/1+z) - 1
     ------------
          z

HINT: 
 
 (a) and (d) Recall that dividing an expression by another term is the same
     thing as multiplying the expression by the reciprocal of the term.
     Simplify by cancelling common terms from the numerator and denominator.

 (b) and (c) Cancel common terms from the numerator and denominator.
  

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