计算:(2x/x-2-x/x+2)÷x/x^2-4

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计算:(2x/x-2-x/x+2)÷x/x^2-4

计算:(2x/x-2-x/x+2)÷x/x^2-4
计算:(2x/x-2-x/x+2)÷x/x^2-4

计算:(2x/x-2-x/x+2)÷x/x^2-4
(2x/x-2-x/x+2)÷x/x^2-4
=(2/x-2-1/x+2)÷1/x^2-4
=(2/x-2-1/x+2)×(x^2-4)
=2/(x-2)×(x^2-4)-1/(x+2)×(x^2-4)
=2(x+2)-(x-2)
=2x+4-x+2
=x+6


(2x/x-2-x/x+2)÷x/x^2-4
=[2x(x+2)-x(x-2)]/(x-2)(x+2)*(x²-4)/x
=[(2x²+4x-x²+2x)/(x-2)(x+2)]*(x-2)(x+2)/x
=(x²+6x)/x
=x+6