作业帮(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）
来源：学生作业帮助网 编辑：作业帮 时间：2024/10/02 13:29:45
(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)
很高兴为您解答,【学习宝典】团队为您答题.
请点击下面的【选为满意回答】按钮.
(x-y)x^6+(y-x)y^6
=(x-y)(x^6-y^6)
=(x-y)(x³+y³)(x³-y³)
解: (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...
全部展开
解: (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)
祝你学习进步,如有不明可以追问.同意我的答案请采纳,O(∩_∩)O谢谢
收起
原式=(x-y)(x^6-y^6)
=(x-y)(x^3+y^3)(x^3-y^3)
=(x+y)(x-y)^2(x^2+xy+y^2)(x^2-xy+y^2)
(x-y)x^6+(y-x)y^6
=(x-y)x^6-(x-y)y^6
=(x-y)(x^6-y^6)
=(x-y)(x^3-y^3)(x^3+y^3)
=(x-y)(x-y)(x^2+xy+y^2)(x+y)(x^2-xy+y^2)
=(x+y)(x-y)²(x^2+xy+y^2)(x^2-xy+y^2)