问题 解答题
先化简,再求值:(
4x+5
x2-1
-
3
x-1
x+2
x2-2x+1
,其中x=3.
答案

(

4x+5
x2-1
-
3
x-1
x+2
x2-2x+1

=[

4x+5
(x+1)(x-1)
-
3(x+1)
(x+1)(x-1)
]•
(x-1)2
x+2

=

4x+5-3x-3
(x+1)(x-1)
(x-1)2
x+2

=

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

=

x-1
x+1

当x=3时,

原式=

3-1
3+1
=
1
2

单项选择题
单项选择题