一道初一计算题(超简单)!(x^4+1)(x^2+1)(x+1)(x-1)

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一道初一计算题(超简单)!(x^4+1)(x^2+1)(x+1)(x-1)一道初一计算题(超简单)!(x^4+1)(x^2+1)(x+1)(x-1)一道初一计算题(超简单)!(x^4+1)(x^2+1

一道初一计算题(超简单)!(x^4+1)(x^2+1)(x+1)(x-1)
一道初一计算题(超简单)!
(x^4+1)(x^2+1)(x+1)(x-1)

一道初一计算题(超简单)!(x^4+1)(x^2+1)(x+1)(x-1)
(x^4+1)(x^2+1)(x+1)(x-1)
=(x-1)(x+1)(x^2+1)(x^4+1)
=(x2-1)(x^2+1)(x^4+1)
=(x^4-1)(x^4+1)
=x^8-1

从后面开始平方差
原式=(x^4+1)(x^2+1)(x^2-1)
=(x^4+1)(x^4-1)
=x^8-1