x-1分之x+1 减去x+1分之x-1等于多少?

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x-1分之x+1 减去x+1分之x-1等于多少?
x-1分之x+1 减去x+1分之x-1等于多少?

x-1分之x+1 减去x+1分之x-1等于多少?
(x+1)/(x-1) - (x-1)/(x+1)
= [(x+1)^2 - (x-1)^2) / [(x-1)(x+1)]
= (x^2 + 2x + 1 - x^2 + 2x - 1) / (x^2 -1)
= 4x / (x^2 -1)

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

x-1分之x+1 -x+1分之x-1
=((x+1)^2-(x-1)^2}/(x+1)(x-1)
=4x/(x+1)(x-1)

(x+1)/(x-1) - (x-1)/(x+1)
(通分)=【(x+1)的平方-(x-1)的平方】/(x-1)(x+1)
=4x/(x的平方-1)