(1+1/x)•x^2-2x+1/x^2-1

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(1+1/x)•x^2-2x+1/x^2-1
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(1+1/x)•x^2-2x+1/x^2-1
(1+1/x)•x^2-2x+1/x^2-1

(1+1/x)•x^2-2x+1/x^2-1
=(x+1)/x ×(x-1)²/(x+1)(x-1)
=(x+1)/x× (x-1)/(x+1)
=(x-1)/x