问题 解答题
化简求值:(
x+2
x2-2x
-
x-1
x2-4x+4
x-4
x
,其中x=
1
2-
3
答案

(

x+2
x2-2x
-
x-1
x2-4x+4
x-4
x

=[

x+2
x(x -2)
-
x-1
(x-2)2
]•
x
x-4

=[

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

=

x2-4-x2+x
x(x-2)2
x
x-4

=

x-4
x(x-2)2
x
x-4

=

1
(x-2)2

∵x=

1
2-
3
=2+
3

∴原式=

1
(2+
3
-2)
2
=
1
3

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