分解因式:x3+2x2y+2xy2+y3=________.

发布时间:2020-08-07 14:39:52

分解因式:x3+2x2y+2xy2+y3=________.

网友回答

(x+y)(x2+xy+y2)
解析分析:可用分组分解法来解,x3和y3一组,剩下的两项一组.

解答:x3+2x2y+2xy2+y3=(x3+y3)+(2x2y+2xy2)
=(x+y)(x2-xy+y2)+2xy(x+y)
=(x+y)(x2+xy+y2)
以上问题属网友观点,不代表本站立场,仅供参考!