因式分解:(X-1)(X-2)(X-3)(X-4)-120
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因式分解:(X-1)(X-2)(X-3)(X-4)-120
(x-1)(x-2)(x-3)(x-4)-120
(x-1)(x-2)(x-3)(x-4)-120
![因式分解:(X-1)(X-2)(X-3)(X-4)-120](/uploads/image/z/17037712-64-2.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%28X-1%29%28X-2%29%28X-3%29%28X-4%29-120)
=[(X-1)(X-4)][(X-2)(X-3)]-120
=[(X²-5X)+4][(X²-5X)+6]-120
=(X²-5X)²+10(X²-5X)+24-120
=(X²-5X)²+10(X²-5X)-96
=(X²-5X-6)(X²-5X+16)
=(X-6)(X+1)(X²-5X+16)
=[(X²-5X)+4][(X²-5X)+6]-120
=(X²-5X)²+10(X²-5X)+24-120
=(X²-5X)²+10(X²-5X)-96
=(X²-5X-6)(X²-5X+16)
=(X-6)(X+1)(X²-5X+16)
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