问题 解答题
化简求值:
x
(x-y)2
-
x2-y2
x+y
+(
2x+2
x-y
-2)
,其中x,y满足方程组
x+2y=3
x-y=2
答案

x+2y=3
x-y=2
x=2
1
3
y=
1
3

原式=

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

把x=2

1
3
,y=
1
3
代入得,原式=
5
2

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