化简求值:(x+y)(x-y)+(x-y)²-(6x²y-2xy²)÷2y,其中x=-2,

学习 时间:2026-03-30 17:41:15 阅读:9184
化简求值:(x+y)(x-y)+(x-y)²-(6x²y-2xy²)÷2y,其中x=-2,y=1/3(x+y)(x-y)+(x-y)²-(6x²y-2xy²)÷2y,其中x=-2,y=1/3

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安静的导师

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2026-03-30 17:41:15

(x+y)(x-y)+(x-y)²-(6x²y-2xy²)÷2y=(x+y)(x-y)+(x-y)²-2xy(3x-y)÷2y=(x+y)(x-y)+(x-y)²-x(3x-y)=x^2-y^2+x^2-2xy+y^2-3x^2+xy=-x^2-xy=-x(x+y)=-(-2)(-2+1/3)= -10/3

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  • 贪玩的芝麻
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    2026-03-30 17:41:15

    (x+y)(x-y)+(x-y)²-(6x²y-2xy²)÷2y=(x+y)(x-y)+(x-y)²-2xy(3x-y)÷2y=(x+y)(x-y)+(x-y)²-x(3x-y)=x^2-y^2+x^2-2xy+y^2-3x^2+xy=-x^2-xy=-x(x+y)=-(-2)(-2+1/3)= -10/3

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