Question

x2+1

x2-1

-

x

x+1

．

Answer 1

分析：首先将分式通分，然后利用同分母的分式相加减的运算法则求解即可，注意结果需化为最简．

解答：解：

x2+1

x2-1

-

x

x+1

=

x2+1

(x+1)(x-1)

-

x(x-1)

(x+1)(x-1)

=

x2+1-x2+x

(x+1)(x-1)

=

x+1

(x+1)(x-1)

=

1

x-1

．

点评：此题考查了分式的加减运算．此题难度不大，解题的关键是注意准确通分，注意结果需化为最简．