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Simplify a rational function

  1. Aug 11, 2012 #1

    LoA

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    1. The problem statement, all variables and given/known data

    u^2
    ---------------
    u^2 - 4

    2. Relevant equations

    I am told that this is equal to

    1+ 4/u^2 - 4


    3. The attempt at a solution

    No clue how these two are related. Factor out a u^2/u^2? But that alters the denominator. My next that is partial fraction decomp. Am I on track?
     
  2. jcsd
  3. Aug 11, 2012 #2

    eumyang

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    Homework Helper

    Use polynomial long division. Or, note that in the numerator,
    [itex]u^2 = \left( u^2 - 4 \right) + 4[/itex].
     
  4. Aug 11, 2012 #3

    micromass

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    Staff Emeritus
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    2016 Award

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