你题目抄错了,8/(x-1)^3应为8/(x+1)^3
[2/(x+1)]^3-x^3+5[2/(x+1)-x]>0
[2/(x+1)-x]*[4/(x+1)^2+4x/(x+1)+x^2+5]>0
[2/(x+1)-x]*[(2/(x+1)+x/2)^2+7x^2/4+5]>0
2/(x+1)-x>0
(x-1)(x+2)/(x+1)
你题目抄错了,8/(x-1)^3应为8/(x+1)^3
[2/(x+1)]^3-x^3+5[2/(x+1)-x]>0
[2/(x+1)-x]*[4/(x+1)^2+4x/(x+1)+x^2+5]>0
[2/(x+1)-x]*[(2/(x+1)+x/2)^2+7x^2/4+5]>0
2/(x+1)-x>0
(x-1)(x+2)/(x+1)