分解因式:x2-2xy-8y2-x-14y-6=_.

问题描述:

分解因式:x2-2xy-8y2-x-14y-6=______.

x2-2xy-8y2-x-14y-6
=(x-4y)(x+2y)+(2x-8y)-3x-6y-6
=(x-4y)(x+2y)+2(x-4y)-3x-6y-6
=(x-4y)(x+2y+2)-3(x+2y+2)
=(x-4y-3)(x+2y+2).
故答案为:(x-4y-3)(x+2y+2).