问题 填空题
化简:
x-y
x+3y
÷
x2-y2
x2+6xy+9y2
-
2y
x+y
=______.
答案

原式=

x-y
x+3y
÷
(x+y)(x-y)
(x+3y)2
-
2y
x+y

=

x-y
x+3y
×
(x+3y)2
(x+y)(x-y)
-
2y
x+y

=

x+3y
x+y
-
2y
x+y

=

x+3y-2y
x+y

=1.

故答案为:1.

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