(x-2/x+2)-(4/x²-4)=1

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(x-2/x+2)-(4/x²-4)=1
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(x-2/x+2)-(4/x²-4)=1
(x-2/x+2)-(4/x²-4)=1

(x-2/x+2)-(4/x²-4)=1
(x-2)^2/(x^2-4)-4/(x^2-4)=1 [ (x-2)^2-4]=x^2-4 x^2-4x+4=x^2 4x=4 x=1