若x+2y=0,xy不等于0,求分式x²+2xy/xy+y²的值

来源：学生作业帮助网编辑：作业帮时间：2024/05/02 21:14:30

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