(X²-1)(X+1)(X4+1)(X-1)= 细节

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(X²-1)(X+1)(X4+1)(X-1)=细节(X²-1)(X+1)(X4+1)(X-1)=细节(X²-1)(X+1)(X4+1)(X-1)=细节=(x^2-1)(x

(X²-1)(X+1)(X4+1)(X-1)= 细节
(X²-1)(X+1)(X4+1)(X-1)= 细节

(X²-1)(X+1)(X4+1)(X-1)= 细节
=(x^2-1)(x+1)(x-1)(x^4+1)
=((x^2-1)^2)(x^4+1)
=((x^4+1)-2x^2)(x^4+1)
=x^8+1+2x^4-2x^6-2x^2
=x^8-2x^6+2x^4-2x^2+1