化简x-1分之x的平方+1-x分之1

题目

化简x-1分之x的平方+1-x分之1
同上,

答案

解
x²/(x-1)+1/(1-x)
=x²/(x-1)-1/(x-1)
=(x²-1)/(x-1)
=(x-1)(x+1)/(x-1)
=x+1