若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值

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若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值若x+2y=0,xy不等于0,求

若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值
若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值

若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值
x+2y=0,xy不等于0
∴x=-2y
x²+2xy/xy+y²
=(4y²-4y²)/(-2y²+y²)
=0

x+2y=0,xy不等于0
∴x=-2y
x²+2xy/xy+y²
=(4y²-4y²)/(-2y²+y²)
=0