,(2+1)(2²+1)(2⁴+1).(2³²+1)=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 07:37:28
![,(2+1)(2²+1)(2⁴+1).(2³²+1)=?](/uploads/image/z/342880-16-0.jpg?t=%2C%282%2B1%29%282%26%23178%3B%2B1%29%282%26%238308%3B%2B1%29.%282%26%23179%3B%26%23178%3B%2B1%29%3D%3F)
,(2+1)(2²+1)(2⁴+1).(2³²+1)=?
,(2+1)(2²+1)(2⁴+1).(2³²+1)=?
,(2+1)(2²+1)(2⁴+1).(2³²+1)=?
=(2-1)(2+1)(2²+1)(2⁴+1).(2³²+1)
=(2²-1)(2²+1)(2⁴+1).(2³²+1)
=(2⁴-1)(2⁴+1).(2³²+1)
=……
=2的64次方-1
原式
=(2-1)(2+1)(2^2+1)...(2^32+1)/(2-1)
=(2^2-1)(2^2+1)...(2^32+1)/(2-1)
...
=(2^32-1)(2^32+1)/(2-1)
=(2^33-1)/(2-1)
望采纳。。。