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

原式=

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

=

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

=

x-2
x-1
+
2
x-1

=

x-2+2
x-1

=

x
x-1

当x=2时,原式=

2
2-1
=2.

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