分式判断1题

题目

分式判断1题
计算(1+(1/x-1))除以（1+(1/(x^2-1))的结果为（ ）答案是C,请解析!
A.1 B.X+1 C.(X+1)/X D.1/(X-1)

答案

(1+(1/x-1))/（1+(1/(x^2-1))
=(x^2-1+x+1)/(x^2-1+1)
=x(x+1)/x^2
=(x+1)/x
C.(X+1)/X