4x2y2-(x2+y2)2的答案

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4x2y2-(x2+y2)2的答案

4x2y2-(x2+y2)2
=(2xy-x²-y²)(2xy+x²+y²)
=-(x-y)²(x+y)²

4x²y²-(x²+y²)²
=(2xy+x²+y²)(2xy-x²-y²)
=-(x+y)²(x-y)²

可以化简为4x2y2-(x4+2x2y2+y4)=-x4+2x2y2-y4=-(x2-y2)2

4x²y²-(x²+y²)²
=(2xy)²-(x²+y²)²
=[2xy+(x²+y²)][2xy-(x²+y²)]
=-(x²+2xy+y²)(x²-2xy+y²)
=-(x+y)²(...

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4x²y²-(x²+y²)²
=(2xy)²-(x²+y²)²
=[2xy+(x²+y²)][2xy-(x²+y²)]
=-(x²+2xy+y²)(x²-2xy+y²)
=-(x+y)²(x-y)²
=-[(x+y)(x-y)]²
=-(x²-y²)²


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