若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值

问题描述:

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