x-1分之x-2除以（x+1 -x-1分之3）,其中x=根号3-2

题目

x-1分之x-2除以（x+1 -x-1分之3）,其中x=根号3-2

答案

答：
[(x-2)/(x-1)]÷[x+1-3/(x-1)]
=[(x-2)/(x-1)]÷[(x²-1-3)/(x-1)]
=[(x-2)/(x-1)]×(x-1)/(x²-4)
=1/(x+2)
=1/(√3-2+2)
=√3/3