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

(

x2
x-1
-
2x
1-x
x
x-1

=(

x2
x-1
+
2x
x-1
)•
x-1
x

=

x2-2x
x-1
x-1
x

=

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

=x-2

当x=

3
-1时,原式=(
3
-1)-2=
3
-3.

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