已知x-3y=0,求2x+y/x2-2xy+y2•(x-y)的值.

问题描述:

已知x-3y=0,求

2x+y
x2-2xy+y2
•(x-y)的值.

2x+y
x2-2xy+y2
•(x-y)=
2x+y
(x-y)2
•(x-y)
(2分)
=
2x+y
x-y
;(4分)
当x-3y=0时,x=3y;(6分)
原式=
6y+y
3y-y
=
7y
2y
=
7
2
.(8分)