1/x^2-x+3/2x-x^2=-1/(x-2)(1-x)

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1/x^2-x+3/2x-x^2=-1/(x-2)(1-x)
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1/x^2-x+3/2x-x^2=-1/(x-2)(1-x)
1/x^2-x+3/2x-x^2=-1/(x-2)(1-x)

1/x^2-x+3/2x-x^2=-1/(x-2)(1-x)