你的题目是(X-2)/(X^2-1)+(2X+2)/(X^2+2X+1)-1/(X-1)吗?
如果是则
(X-2)/(X^2-1)+(2X+2)/(X^2+2X+1)-1/(X-1)
=(X-2)/(X^2-1)+2(X+1)/(X+1)^2-1/(X-1)
=(X-2)/(X^2-1)+2/(X+1)-1/(X-1)
=[(x-2)+2(x-1)-(x+1)]/(X^2-1)
=(2x-5)/(X^2-1)
=(2√2+2-5)/(2+1+2√2-1)
=(2√2-3)/(2√2+2)
=(2√2-3)(2√2-2)/[(2√2-2)(2√2+2)]
=(8-10√2+6)/4
=(7-5√2)/2