问题 选择题
计算(x+y)•
x2
x2-y2
+
y2
x-y
-
2x2y-2xy2
x2-2xy+y2
,正确的结果为(  )
A.x+yB.x-yC.y-xD.
x-y
x+y
答案

原式=(x+y)•

x2
(x+y)(x-y)
+
y2
x-y
-
2xy(x-y)
(x-y)2

=

x2
x-y
+
y2
x-y
-
2xy
x-y

=

x2+y2-2xy
x-y

=x-y.

故选B.

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