[1- 1/(x-1)]÷ x/(x²-1)
=[(x-1-1)/(x-1)] × (x²-1)/x
=(x-2)/(x-1) × (x-1)(x+1)/x
=(x-2)(x+1)/x
而
{x+3>0
{2x-1<2
解不等式x+3>0得:x>-3
不等式2x-1<2可化为:2x<3,即得x<3/2
那么原不等式组的解为:-3
当x=-2时,所求式子=(x-2)(x+1)/x=(-2-2)(-2+1)/(-2)=-2
解:原式=(x-1-1)/(x-1)*(x+1)(x-1)/x=(x-2)(x+1)/x
∵x+3>0 2x-1<2
∴-3
∵x-1≠0 x²-1≠0 x≠0
∴x≠±1 x≠0
∴x=-2
∴原式=(-2-2)(-2+1)/(-2)=-2
原式=[1-1/(x+1)]/[x/(x^2-1)]
= [x/(x+1)]/x/(x+1)(x-1)
=(x-1)
{x+3>0 x>-3
{2x-1<2 x<3/2
整数解 - 2,-1,0,,1
原式=-3, -2, -1, 0