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Preform the operations and simplifying

  1. May 8, 2005 #1
    Hello

    I have to preform the operations and simplifying it.

    This is what i have

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

    [tex]=\frac{3x^2-7x+8}{x(x-2)(x-2)}[/tex]

    Is this correct?? Where do I go from here?

    Thanks

    P
     
  2. jcsd
  3. May 8, 2005 #2
    [tex]\frac{1}{x}+\frac{1}{x-2}+\frac{3}{(x-2)^2}[/tex]

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

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

    The top can be 'factored' taking a = 1, b = x, c = 3x and y = (x-2)
     
  4. May 8, 2005 #3
    I made a mistake when typing the question.

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

    what do you mean by "The top can be 'factored' taking a = 1, b = x, c = 3x and y = (x-2)"??

    Thanks for your help!
     
  5. May 8, 2005 #4
    [tex] \frac{3x+(x-2)x+2(x-2)^2}{(x-2)^2}[/tex]


    [tex]3x+(x-2)x+2(x-2)^2 [/tex] can be factored if you want it to be, but it depends on what your trying to do.
     
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