问题 解答题
(1)化简:(
1
x+1
-
1
x-1
)
x2-1
2

(2)
x2-1
x
x
x+1
+(3x+1)
答案

(1)(

1
x+1
-
1
x-1
)•
x2-1
2

=(

x-1
(x+1)(x-1)
-
x+1
(x+1)(x-1)
(x+1)(x-1)
2

=

-2
(x+1)(x-1)
(x+1)(x-1)
2

=-1;

(2)

x2-1
x
x
x+1
+(3x+1)

=

(x+1)(x-1)
x
x
x+1
+(3x+1)

=(x-1)+3x+1

=x-1+3x+1

=4x.

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