计算:(x+1)(x-1)(x2-x+1)(x2+x+1)

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计算:(x+1)(x-1)(x2-x+1)(x2+x+1)
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计算:(x+1)(x-1)(x2-x+1)(x2+x+1)
计算:(x+1)(x-1)(x2-x+1)(x2+x+1)

计算:(x+1)(x-1)(x2-x+1)(x2+x+1)
这里其实有立方差和立方和公式来着.
(x+1)(x-1)(x²-x+1)(x²+x+1)
=(x+1)(x²-x+1)*(x²+x+1)(x-1)
=(x³+1)(x³-1)
=(x^6-1)
要记得的.x³+1=(x+1)(x²-x+1)
x³-1=(x²+x+1)(x-1)

:(x+1)(x-1)(x2-x+1)(x2+x+1)=﹙x³+1﹚﹙x³-1﹚=x∧6-1