(x-1)(x+1)(x²+1)(x^4+1)(x^8+1)=?有讲解更好
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(x-1)(x+1)(x²+1)(x^4+1)(x^8+1)=?有讲解更好
![(x-1)(x+1)(x²+1)(x^4+1)(x^8+1)=?有讲解更好](/uploads/image/z/16797760-16-0.jpg?t=%EF%BC%88x-1%EF%BC%89%EF%BC%88x%2B1%EF%BC%89%EF%BC%88x%26%23178%3B%2B1%EF%BC%89%EF%BC%88x%5E4%2B1%EF%BC%89%EF%BC%88x%5E8%2B1%EF%BC%89%3D%3F%E6%9C%89%E8%AE%B2%E8%A7%A3%E6%9B%B4%E5%A5%BD)
(x-1)(x+1)(x²+1)(x^4+1)(x^8+1)
=(x²-1)(x²+1)(x^4+1)(x^8+1)
=(x^4-1)(x^4+1)(x^8+1)
=(x^8-1)(x^8+1)
=x^16-1
=(x²-1)(x²+1)(x^4+1)(x^8+1)
=(x^4-1)(x^4+1)(x^8+1)
=(x^8-1)(x^8+1)
=x^16-1
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