因式分解(x^2-y^2)(x^4+x^2y^2+y^4)

2024-11-22 16:21:13
推荐回答(3个)
回答1:

这不是立方差公式么?等于x^6-y^6

回答2:

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

回答3:

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