(x+2/x^2-x-6)-(2x/x^2-3x)-(x+1/x^2-6x+9)

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(x+2/x^2-x-6)-(2x/x^2-3x)-(x+1/x^2-6x+9)

(x+2/x^2-x-6)-(2x/x^2-3x)-(x+1/x^2-6x+9)
(x+2/x^2-x-6)-(2x/x^2-3x)-(x+1/x^2-6x+9)

(x+2/x^2-x-6)-(2x/x^2-3x)-(x+1/x^2-6x+9)
原式=(x+2)/(x+2)(x-3)-2x/x(x-3)-(x+1)/(x-3)²
=1/(x-3)-2/(x-3)-(x+1)/(x-3)²
=-1/(x-3)-(x+1)/(x-3)²
=-[(x-3)+(x+1)]/(x-3)²
=-(2x-2)/(x²-6x+9)

=(x+2)/(x-3)(x+2)-2x/x(x-3)-(x+1)/(x-3)²
=1/(x-3)-2/(x-3)-(x+1)/(x-3)²
=-1/(x-3)-(x+1)/(x-3)²
=[-(x-3)-(x+1)]/(x-3)²
=(-2x+2)/(x-3)²
=(2-2x)/(x-3)²

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