问题 解答题
先化简,再求值:
2x
x2-y2
+
x
y2-x2
+
y
(x-y)(x+y)
,其中x=3,y=4.
答案

原式=

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

=

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

=

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

=

1
x-y

当x=3,y=4时,原式=

1
3-4
=-1.

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