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Algebra Ratio

  1. Mar 15, 2013 #1
    Is [itex]\frac{x+y}{(x^2+y^2)}[/itex] = [itex]\frac{1}{x+y}[/itex]

    would that be algebraically correct?
     
  2. jcsd
  3. Mar 15, 2013 #2
    No, it is not.
     
  4. Mar 15, 2013 #3

    Mark44

    Staff: Mentor

    whatlifeforme,
    Would this be correct?

    $$ \frac{2 + 3}{2^2 + 3^2} = \frac{1}{2 + 3}$$

    More simply, this is asking whether 5/13 is equal to 1/5.
     
  5. Mar 15, 2013 #4
    And I want to add that your mistake is the so-called "freshman's dream", that is, the incorrect idea that ##(x+y)^2=(x^2+y^2)##, which it does not.
     
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