
计算X^2-2x+1/x^2-1除以X-1/X^2+x-x的值,其中X=2006 有同学把X=2006抄错成X=2600但是他的计算结果也正确
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[(x^2-2x+1)/(x^2-1)]/[(x-1)/(x^2+x)]-x
=[(x-1)^2/(x+1)(x-1)]/[(x-1)/x(x+1)]-x
=[(x-1)/(x+1)]/[(x-1)/x(x+1)]-x
=[(x-1)/(x+1)]*x(x+1)/(x-1)-x
=x-x
=0
化简结果与x 的取值无关
=[(x-1)^2/(x+1)(x-1)]/[(x-1)/x(x+1)]-x
=[(x-1)/(x+1)]/[(x-1)/x(x+1)]-x
=[(x-1)/(x+1)]*x(x+1)/(x-1)-x
=x-x
=0
化简结果与x 的取值无关
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