当x等于x的相反数时,分式(x^2-1)[(x+1)/(x-1)+(x-1)/(x+1)-(x^2-1)/1]=?

问题描述:

当x等于x的相反数时,分式(x^2-1)[(x+1)/(x-1)+(x-1)/(x+1)-(x^2-1)/1]=?

当x等于x的相反数时,x等于且只等于0,代入得
-1*[-1-1+1]=1

相反数等于本身的只有0,
(x^2-1)[(x+1)/(x-1)+(x-1)/(x+1)-(x^2-1)/1]
=-1×(-1-1+1)
=1