计算 (x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2) 大仙帮帮忙

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计算 (x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2) 大仙帮帮忙
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计算 (x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2) 大仙帮帮忙
计算 (x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2) 大仙帮帮忙

计算 (x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2) 大仙帮帮忙
原式=【(x+y)(x-y)】²-(x²-y²)(x^2+y^2)
　　=（x²-y²）²-x^4+y^4
　　=2y^4-2x²y²

(x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2)
=(x+y)^2(x-y)^2-(x^2-y^2)(x^2+y^2)
=[(x+y)(x-y)]^2-(x^2-y^2)(x^2+y^2)
=（x^2-y^2）^2-(x^4-y^4)
=x^4-2x^2y^2+y^4-x^4+y^4
=2y^4-2x^2y^2

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