因式分解(x+1)(x-2)(x-3)(x-6)+20
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因式分解(x+1)(x-2)(x-3)(x-6)+20
![因式分解(x+1)(x-2)(x-3)(x-6)+20](/uploads/image/z/18560068-52-8.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%28x%2B1%29%28x-2%29%28x-3%29%28x-6%29%2B20)
=[(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)
=[(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)