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Factoring expressions with negative exponents

  1. Jul 31, 2009 #1
    1. The problem statement, all variables and given/known data
    Factor
    3x (4x-1)^-2 - 6x^2 (4x-1)^-1


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 31, 2009 #2

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    I see an x and a factor of (4x - 1)^{-1} in both terms.
    It's no different from an expression with positive exponents (if that makes you feel any better, first do it with +2 and +1)
     
    Last edited: Aug 1, 2009
  4. Jul 31, 2009 #3

    Mark44

    Staff: Mentor

    Without negative exponents, your expression can be written as
    [tex]\frac{3x}{(4x - 1)^2} - \frac{6x^2}{(4x - 1)}
    [/tex]
    If you get a common denominator, it should be more obvious what you can factor out of each rational expression.
     
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