(x-1)(x-3)(x-5)(x-7)-9 因式分解

问题描述:

(x-1)(x-3)(x-5)(x-7)-9 因式分解
1个回答 分类:综合 2014-09-24

问题解答:

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(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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