(X2一X一6)(X2十3X一4)十24
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解决时间 2021-02-16 09:20
- 提问者网友：山高云阔
- 2021-02-15 17:37
(X2一X一6)(X2十3X一4)十24
最佳答案
- 五星知识达人网友：轻熟杀无赦
- 2021-02-15 18:36
(X2一X一6)(X2十3X一4)十24
=(x+2)(x-3)(x-1)(x+4)+24
=[(x+2)(x-1)][(x-3)(x+4)]+24
=(x²+x-2)(x²+x-12)+24
=(x²+x-2)²-10(x²+x-2)+24
=(x²+x-2-4)(x²+x-2-6)
=(x²+x-6)(x²+x-8)
=(x-2)(x+3)(x²+x-8)
=(x+2)(x-3)(x-1)(x+4)+24
=[(x+2)(x-1)][(x-3)(x+4)]+24
=(x²+x-2)(x²+x-12)+24
=(x²+x-2)²-10(x²+x-2)+24
=(x²+x-2-4)(x²+x-2-6)
=(x²+x-6)(x²+x-8)
=(x-2)(x+3)(x²+x-8)
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