已知A=3x²y-xy²,B=xy-3x²y,且|x-1|+(y+3)²=0,求
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已知A=3x²y-xy²,B=xy-3x²y,且|x-1|+(y+3)²=0,求A-B的值
![已知A=3x²y-xy²,B=xy-3x²y,且|x-1|+(y+3)²=0,求](/uploads/image/z/7548379-43-9.jpg?t=%E5%B7%B2%E7%9F%A5A%EF%BC%9D3x%26%23178%3By-xy%26%23178%3B%2CB%3Dxy-3x%26%23178%3By%2C%E4%B8%94%7Cx-1%7C%2B%EF%BC%88y%2B3%EF%BC%89%26%23178%3B%3D0%2C%E6%B1%82)
∵|x-1|+(y+3)²=0 ,|x-1|≥0,(y+3)²≥0;
∴x=1 ,y=-3,
∵A=3x²y-xy²,B=xy-3x²y,
∴A-B=3x²y-xy²-(xy-3x²y)
=3x²y-xy²-xy+3x²y
=6x²y-xy²-xy
=xy(6x-y-1)
=1*(-3)[ 6*1-(-3)-1]
=-3*8
=-24
∴x=1 ,y=-3,
∵A=3x²y-xy²,B=xy-3x²y,
∴A-B=3x²y-xy²-(xy-3x²y)
=3x²y-xy²-xy+3x²y
=6x²y-xy²-xy
=xy(6x-y-1)
=1*(-3)[ 6*1-(-3)-1]
=-3*8
=-24
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