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已知A=3x²y-xy²,B=xy-3x²y,且|x-1|+(y+3)²=0,求A-B的值
题目内容:
已知A=3x²y-xy²,B=xy-3x²y,且|x-1|+(y+3)²=0,求A-B的值优质解答
∵|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
优质解答
∴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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