化简(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)=_______

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化简(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)=_______
化简(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)=_______

化简(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)=_______
原式=(x^2-1)(x^2+1)````(x^16+1)
=x^32-1

(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)
=（x^2-1）(x^2+1)(x^4+1)(x^8+1)(x^16+1)
=(x^4-1)(x^4+1)(x^8+1)(x^16+1)
=(x^8-1)(x^8+1)(x^16+1)
=(x^16-1)(x^16+1)
=x^32-1