Question

把x⁶－y⁶分解因式

 

Answer 1

答案：
解析：

解法一： x6－y6=(x3)2－(y3)2 =(x3+y3)(x3－y3) =(x+y)(x2－xy+y2)(x－y)(x2+xy+y2) =(x+y)(x－y)(x2－xy+y2)(x2+xy+y2) 解法二： x6－y6=(x2)3－(y2)3 =(x2－y2)(x4+x2y2+y4) =(x+y)(x－y)(x2－xy+y2)(x2+xy+y2)