X5 - Y5 (X的5次方减去Y的5次方)解法

x^5-y^5
=x^5 - x^3*y^2 + x^3*y^2 - y^5
=(x^5 - x^3*y^2)+(x^3*y^2 - y^5)
=x^3(x^2 - y^2)+y^2(x^3 - y^3)
=x^3(x+y)(x-y)+y^2(x-y)(x^2+xy+y^2)
=(x-y)(x^4+ x^3*y + x^2*y^2 + x*y^3 + y^4)
我就做到这一步了，后头的好像化不下去了。

x^5-y^5=(x-y)(x^4+x^3*y+x^2*y^2+x*y^3+y^4)

(x3)2-(y3)2=(x3+y3)(x3-y3)=(x+y)(x2-xy+y2)(x-y)
(x2+xy+y2)

x^5-y^5=(x-y)(x^4+x^3*y+x^2*y^2+x*y^3+y^4)
(x3)2是等于x6

一楼正解，二楼错了