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