作业：化简，求值（1+1/x-1)除以x/x平方减1，其中X=-2
作业：化简，求值（1+1/x-1)除以x/x平方减1，其中X=-2
原式=[(x-1+1)/(x-1)]*[(x^2-1)/x]
=[x/(x-1)]*[(x+1)(x-1)/x]
=x+1
=-2+1
=-1
先化简再求值(X-X/X-1)除以(1+1/X的平方-1),其中X=根号2-1
原式=[X-X/(X-1)]/[1+1/(X²-1)]
=[X(X-1)-X]/[X-1+1/(X+1)] 分子分母都乘以(X-1)
=(X²-2X)(X+1)/[X²-1+1] 分子分母都乘以 (X+1)
=(X-2)(X+1)/X 分子分母都除以X
= (√2-3)√2/(√2-1) 代入X=√2-1
= (2-3√2)/(√2-1)
= (2-3√2)(√2+1)
=2√2+2-6-3√2
=-4-√2
先化简，在求值；（1+1/x-1)÷x/x^2-1,其中x=-2
（1+1/x-1)÷x/x^2-1
=x/(x-1)*(x+1)(x-1)/x
=x+1
x=-2时
原式＝-2+1=-1
先化简再求值：x的平方-1/x的平方-2x+1除以x+2/x-1减去1/x+2，其中x=2
x的平方-1/x的平方-2x+1除以x+2/x-1减去1/x+2
=(x-1)(x+1)/(x-1)² ÷ (x+2)/(x-1) -1/(x+2)
=(x+1)/(x-1)* (x-1)/(x+2) -1/(x+2)
=(x+1-1)/(x+2)
=x/(x+2)
=2/(2+2)
=1/2
化简求值:1/x+2-x的平方+2X+1/x+2除以x的平方-1/x-1,其中x=根号2-2
原式=[1/(x+2)]-[(x²+2x+1)/(x+2)]÷[(x²-1)/(x-1)]
=[1/(x+2)]-[(x+1)²/(x+2)]÷[(x+1)(x-1)/(x-1)]
=[1/(x+2)]-[(x+1)²/(x+2)]÷(x+1)
=[1/(x+2)]-[(x+1)²/(x+2)]×[1/(x+1)]
=[1/(x+2)]-[(x+1)/(x+2)]
=(1-x-1)/(x+2)
=-x/(x+2)
当x=√2-2时
原式=-(√2-2)/(√2-2+2)
=(2-√2)/√2
=√2(2-√2)/2
=(2√2-2)/2
=√2-1
（1-x/x-1）除以1/x平方-x，其中x=2，先化简再求值，怎么做？
（1-x/x-1）除以1/x平方-x
=（x-1-x）/(x-1) × x(x-1)
=-1/(x-1) × x(x-1)
=-x
=-2
化简求值：x平方-2x/x平方-1除以(x-1-2x-1/x 1) 其中x＝2 根号2
x平方-2x/x平方-1除以[(x-1)-(2x-1/x+1)]
=[x(x-2)/(x+1)(x-1)]/[(x^2-1-2x+1)/(x+1)]
=x(x-2)/(x+1)(x-1)×(x+1)/x(x-2)
=1/(x-1)
=1/(2+根号2-1）
=1/(根号2+1）
=根号2-1
先化简再求值：【1-1/x-1】除以x的平方-4x+4/x的平方-1,其中x=3
【1-1/x-1】除以x的平方-4x+4/x的平方-1 =（1-1/x-1）÷x-4x+4/x-1 =-1/x÷x-4x+4/x-1 =-1/x+4/x-1-4x =-1/3+4/3-1-4*3 =-1/27+4/9-1-12 =-13-1/27+12/27 =-13+11/27 =-12-16/27
先化简,再求值:(X-1/X平方-1)-(X/X+1),其中X=2
您好：
(X-1/X平方-1)-(X/X+1)
=（x-1）/(x+1)(x-1)-x/(x+1)
=1/(x+1)-x/(x+1)
=(1-x)/(x+1)
=(1-2)/(2+1)
=-1/3
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先化简再求值 1减(x-1/1-x)的平方除以(x的平方-x+1)/x的立方-2x+1),其中x=1/2
{1-[(X-1)/(1-X)]^}/{(X^-X+1)/(X^3-2X+1)}
={1+[(X-1)/(X-1)]^}/{(X^-X+1)/(X^3-2X+1)}
=4/{(X^-X+1)/(X^3-2X+1)}
=4/{(1/4-1/2+1)/(1/8-2/2+1)}
=4/{(3/4)/(1/8)}
=4/6
=2/3
