分解因式:x2+5xy+x+3y+6y2=_.

问题描述:

分解因式:x2+5xy+x+3y+6y2=______.

x2+5xy+x+3y+6y2
=(x2+5xy+6y2)+(x+3y)
=(x+3y)(x+2y)+(x+3y)
=(x+3y)(x+2y+1).
故答案为:(x+3y)(x+2y+1)