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Math Help - Help with Partial Fraction Decompostion

  1. #1
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    Help with Partial Fraction Decompostion

    I know what the answer is but just can't seem to do the actual decomposition.

    Can anyone help?

    4x - 4 / (x2-4x+4)




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  2. #2
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    Re: Help with Partial Fraction Decompostion

    Can you factorise the denominator?
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  3. #3
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    Re: Help with Partial Fraction Decompostion

    \frac{4x-4}{x^2-4x+4} = \frac{4(x-1)}{(x-2)^2} = \frac{A}{x-2} + \frac{B}{(x-2)^2}

    4(x-1) = A(x-2) + B

    let x = 2 ...

    B = 4

    let x = 1

    0 = -A + 4

    A = 4

    \frac{4x-4}{x^2-4x+4} = \frac{4}{x-2} + \frac{4}{(x-2)^2}
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  4. #4
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    Re: Help with Partial Fraction Decompostion

    Thank you very much!!

    You have helped a great deal - now I can finish my assignment.
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