因式分解：x^6-y^6+x^4+x^2y^2+y^4

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/15 04:55:44

^6-y^6+x^4+x^2y^2+y^4
=(x^2-y^2)(x^4+x^2y^2+y^4)+(x^4+x^2y^2+y^4)
=(x^2-y^2+1)(x^4+x^2y^2+y^4)
=(x^2-y^2+1)(x^4+2x^2y^2+y^4-x^2y^2)
=(x^2-y^2+1)[(x^2+y^2)^2-x^2y^2]
=(x^2-y^2+1)(x^2+y^2-xy)(x^2+y^2+xy)

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