(x^2+4x+16)(x^2+9x+16)-6x^2 求因式分解,

问题描述:

(x^2+4x+16)(x^2+9x+16)-6x^2 求因式分解,
1个回答 分类:数学 2014-10-27

问题解答:

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(x^2+4x+16)(x^2+9x+16)-6x^2
=[(x²+16)+4x][(x²+16)+9x]-6x²
=(x²+16)²+13x(x²+16)+36x²-6x²
=(x²+16)²+13x(x²+16)+30x²
=[(x²+16)+10x][(x²+16)+3x]
=(x²+10x+16)(x²+3x+16)
 
 
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