Question

化简：(

x+1

x2-x

-

x

x2-2x+1

)÷

1

x

．

Answer 1

分析：先通分，再进行分式的混合运算．

解答：解：原式=[

x+1

x(x-1)

-

x

(x-1)2

]÷

1

x

=[

(x+1)(x-1)

x(x-1)2

-

x2

x(x-1)2

]×x
=

x2-1-x2

x(x-1)2

×x
=-

1

(x-1)2

．

点评：本题考查了分式的混合运算，通分是解此题的关键．