Algebra

Factor by removing the common factor with the lesser exponent
2x(x-5)^-3 -4x^2(x-5)^-4
I don't really know how to do this.
The final answer I got is:
2x(2x^2-10x+1)
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(x-5)^4

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  1. 2x(x-5)^-3(1-2x(x-5)^-1) =
    2x/(x-5)^3 * (1-2x/(x-5)) =
    2x/(x-5)^3 * ((x-5)/(x-5)-2x/(x-5) =
    2x/(x-5)^3 * (-x-5)/(x-5) =
    2x(-x-5))/(x-5)^4).

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  2. Take a look at what wolframalpha got:

    http://www.wolframalpha.com/input/?i=2x+%28x-5%29^-3+-4x^2+%28x-5%29^-4

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