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

原式=

-2xy
(x+y)(x-y)
÷[
x+y
(x+y)(x-y)
-
x-y
(x+y)(x-y)
]

=

-2xy
(x+y)(x-y)
÷
2y
(x+y)(x-y)
=
-2xy
(x+y)(x-y)
(x+y)(x-y)
2y
=-x,

当x=1-

2
时,原式=-(1-
2
)=
2
-1.

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