分解因式:x6-y6

更新时间2022-09-06 20:28:48

分解因式:x6-y6

解：原式=(x^3-y^3)(x^3+y^3） （平方差公式） 

=(x-y)(x^2+xy+y^2)(x+y)(x^2-xy+y^2) （分别用立方和，立方差公式） 

望采纳，谢谢！

(x+y)(x-y)(x²-xy+y²)(x²+xy+y²)

x^6-y^6

=(x³)²-(y³)²

=(x³+y³)(x³-y³)

=(x+y)(x²-xy+y²)(x-y)(x²+xy+y²)

x^6-y^6

=(x^3+y^3)(x^3-y^3)

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

x^6-y^6

=(x³)²-(y³)²

=(x³+y³)(x³-y³)

=(x+y)(x-y)(x²-xy+y²)(x²+xy+y²)