学帮网化简(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)=_______
来源：学生作业学帮网 编辑：学帮网 时间：2024/07/07 02:26:25
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