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Please correct my working out

  1. Aug 15, 2009 #1
    Can someone please correct my working out...
    [tex] \frac{\beta^2}{(x-1)(x-2)} - \frac{\beta^2}{(x-1)^2}[/tex]

    [tex]\frac{\beta^2(x-1)^2 - \beta^2(x-1)(x-2)}{(x-1)(x-2)(x-1)^2}[/tex]

    [tex]\frac{\beta^2x^2 - \beta^2 -\beta^2(x^2 - 3x +2)}{(x-1)(x-2)(x-1)^2}[/tex]

    [tex]\frac{3\beta^2 + 3\beta^2x}{(x-1)(x-2)(x-1)^2}[/tex]

    [tex] \frac{3\beta^2(x -1)}{(x-1)(x-2)(x-1)^2}[/tex]

    [tex] \frac{3\beta^2}{(x-2)(x-1)^2}[/tex]

    that's my answer..

    but the real answer is meant to be:
    [tex] \frac{\beta^2}{(x-2)(x-1)^2}[/tex]

    Can someone see where i went wrong?
     
    Last edited: Aug 15, 2009
  2. jcsd
  3. Aug 15, 2009 #2
    Looking at the top only.

    [tex]
    \beta^{2}(x-1)^{2} - \beta^{2}(x-1)(x-2)
    [/tex]
    [tex]
    \beta^{2}(x^{2} - x - x +1) - \beta^{2}(x^{2} + 2x - 1x + 2)
    [/tex]
    [tex]
    \beta^{2}(x-1)
    [/tex]

    Simplifies to something like that.
     
  4. Aug 16, 2009 #3
    thanks!
     
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