数学问题（完全平方公式）八年级
2.(x+y)²(x-y)²-(x-y)(x+y）(x²+y²)=-(x-y)²(x-y)²-(x-y)(x+...
2.(x+y)²(x-y)²-(x-y)(x+y）(x²+y²)
=-(x-y)²(x-y)²-(x-y)(x+y)(x²+y²)①
=-(x-y)^4-[(x²-y²)(x²+y²)]②
=-（x-y)^4-[x^4-y^4]③
对不对，如果对，怎么继续做，如果错了，哪里错了，第几步，请改正 展开
=-(x-y)²(x-y)²-(x-y)(x+y)(x²+y²)①
=-(x-y)^4-[(x²-y²)(x²+y²)]②
=-（x-y)^4-[x^4-y^4]③
对不对，如果对，怎么继续做，如果错了，哪里错了，第几步，请改正 展开
13个回答
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.(x+y)²(x-y)²-(x-y)(x+y）(x²+y²)
解：原式=(x+y)(x-y)×[(x+y)(x-y)-(x²+y²）]【把(x+y)(x-y）提公因式】
=（(x²-y²)×(x²-y²-x²-y²)
=x²y²-y^4
解：原式=(x+y)(x-y)×[(x+y)(x-y)-(x²+y²）]【把(x+y)(x-y）提公因式】
=（(x²-y²)×(x²-y²-x²-y²)
=x²y²-y^4
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