化简：(xx+1+1x-1)÷x2+1x2+x-1x-1．

题型：解答题难度：一般来源：不详

化简：(

x

x+1

+

1

x-1

)÷

x2+1

x2+x

-

1

x-1

．

答案

原式=

x(x-1)+x+1

(x+1)(x-1)

•

x(x+1)

x2+1

-

1

x-1

=

x

x-1

-

1

x-1

=1．