
已知x-3y=0(x≠0),求(2x+y)(x-y)/x²-2xy+y²的值。
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x-3y=0
∴x=3y
(2x+y)(x-y)/x²-2xy+y²
=(2x+y)(x-y)/(x-y)²
=(2x+y)/(x-y)
=(6y+y)/(3y-y)
=7/2
∴x=3y
(2x+y)(x-y)/x²-2xy+y²
=(2x+y)(x-y)/(x-y)²
=(2x+y)/(x-y)
=(6y+y)/(3y-y)
=7/2
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