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(a-1)(a-2)(a-3)(a-4)-120
=(a²-5a+4)(a²-5a+6)-120
=(a²-5a+4)²+2(a²-5a+4)+24-120
=(a²-5a+4)²+2(a²-5a+4)-96
=(a²-5a+4-6)(a²-5a+4+10)
=(a²-5a-2)(a²-5a+14)
=(a²-5a+4)(a²-5a+6)-120
=(a²-5a+4)²+2(a²-5a+4)+24-120
=(a²-5a+4)²+2(a²-5a+4)-96
=(a²-5a+4-6)(a²-5a+4+10)
=(a²-5a-2)(a²-5a+14)
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