问题 解答题
先化简,再求值:(
1
x-y
-
1
x+y
2y
x2-2xy+y2
,其中x=1+
2
,y=1-
2
答案

原式=[

x+y
(x+y)(x-y)
-
x-y
(x+y)(x-y)
2y
(x-y)2

=

2y
(x+y)(x-y)
×
(x-y)2
2y

=

x-y
x+y

当x=1+

2
,y=1-
2
时,

原式=

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

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