已知2(x-1/3)²+|y+1|=0,求6x²-2(x²y-2xy-2x²)-xy的值.

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已知2(x-1/3)²+|y+1|=0,求6x²-2(x²y-2xy-2x²)-xy的值.

已知2(x-1/3)²+|y+1|=0,求6x²-2(x²y-2xy-2x²)-xy的值.
已知2(x-1/3)²+|y+1|=0,求6x²-2(x²y-2xy-2x²)-xy的值.

已知2(x-1/3)²+|y+1|=0,求6x²-2(x²y-2xy-2x²)-xy的值.
x-1/3=0
y+1=0
∴x=1/3
y=-1
∴6x²-2(x²y-2xy-2x²)-xy
=10x²-2x²y+3xy
=10/9+2/9-1
=1/3

由2(x-1/3)²+|y+1|=0得:
x-1/3=0, x=1/3
y+1=0, y=-1
将x=1/3, y=-1代入6x²-2(x²y-2xy-2x²)-xy中
6x²-2(x²y-2xy-2x²)-xy
=6*1/9-2(1/9*(-1)-2*1/3*(-1)-2*1/9)-1/3*(-1)
=1/3