Question

化简分式

2

x-1

÷(

2

x2-1

+

1

x+1

)的结果是（　　）

A．2

B． 2 x+1

C． 2 x-1

D．-2

Answer 1

2

x-1

÷(

2

x2-1

+

1

x+1

)
=

2

x-1

÷[

2

(x+1)(x-1)

+

x-1

(x+1)(x-1)

]
=

2

x-1

÷

1

x-1

=2．
故选：A．