
((x^2-4/x^2-4x+4)+(2-x/x+2))/(x/x-2) =?????
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[(x^2-4/x^2-4x+4)+(2-x)/x+2)]/(x/x-2)
=[(x+2)(x-2)/(x-2)^2+(2-x)/x+2)]*(x-2)/x
=[(x+2)/(x-2)-(x-2)/x+2)]*(x-2)/x
=8x/(x+2)(x-2)*(x-2)/x
=8/(x+2)
=[(x+2)(x-2)/(x-2)^2+(2-x)/x+2)]*(x-2)/x
=[(x+2)/(x-2)-(x-2)/x+2)]*(x-2)/x
=8x/(x+2)(x-2)*(x-2)/x
=8/(x+2)
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