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(x-y)x^6+(y-x)y^6因式分解

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(x-y)x^6+(y-x)y^6因式分解
要用到立方差或立方和公式(应该是要的)
(x-y)x^6+(y-x)y^6
=(x-y)x^6-(x-y)y^6
=(x-y)(x^6-y^6)
=(x-y)(x³+y³)(x³-y³)
=(x-y)(x+y)(x²-xy+y²)(x-y)(x²+xy+y²)
=(x-y)²(x+y)(x²-xy+y²)(x²+xy+y²)
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