分解因式:(x+1)(x+2)(x+3)-6×7×8=_.

问题描述:

分解因式:(x+1)(x+2)(x+3)-6×7×8=______.

(x+1)(x+2)(x+3)-6×7×8
=x3+6x2+11x+6-336
=x3+6x2+11x-330
=x3-5x2+11x2-55x+66x-330
=x2(x-5)+11x(x-5)+66(x-5)
=(x-5)(x2+11x+66).
故答案为(x-5)(x2+11x+66).