(x-1)(x-3)(x-5)(x-7)-9 因式分解

来源：学生作业帮编辑：作业帮分类：综合作业时间：2024/05/02 20:29:39

(x-1)(x-3)(x-5)(x-7)-9
=(x-1)(x-7)(x-3)(x-5)-9
=(x²-8x+7)(x²-8x+15)-9
=(x²-8x)²+22(x²-8x)+105-9
=(x²-8x)²+22(x²-8x)+96
=(x²-8x+6)(x²-8x+16)
==(x²-8x+6)(x-4)²

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