分解因式:x3+2x2y+2xy2+y3=_.

问题描述:

分解因式:x3+2x2y+2xy2+y3=______.

x3+2x2y+2xy2+y3=(x3+y3)+(2x2y+2xy2
=(x+y)(x2-xy+y2)+2xy(x+y)
=(x+y)(x2+xy+y2
故答案为:(x+y)(x2+xy+y2