选择:已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是?3/2?3/2或0?

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选择:已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是?3/2?3/2或0?
选择:已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是
已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是?
3/2?3/2或0?

选择:已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是?3/2?3/2或0?
(x-2y)^2-y(2y-x)=0
(x-2y)^2+y(x-2y)=0
(x-2y)(x-2y+y)=0
(x-2y)(x-y)=0
x=2y或x=y
若x=2y,原式=(4y^2-y^2)/2y^2=3y^2/2y^2=3/2
若x=y,原式=(y^2-y^2)/2y^2=0/2y^2=0
所以等于3/2或0