因式分解(x+1)(x-2)(x-3)(x-6)+20
问题描述:
因式分解(x+1)(x-2)(x-3)(x-6)+20
答
=[(x+1)(x-6)][(x-2)(x-3)]+20=[(x²-5x)-6][(x²-5x)+6]+20=(x²-5x)²-36+20=(x²-5x)²-16=(x²-5x+4)(x²-5x-4)=(x-1)(x-4)(x²-5x-4)