(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1工整点!每部都是什么,写清楚!
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 08:29:04
(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1工整点!每部都是什么,写清楚!
(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
工整点!每部都是什么,写清楚!
(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1工整点!每部都是什么,写清楚!
(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2-1)(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)+1
=2^16-1+1
=2^16
(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2-1)(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2^2-1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2^4-1)(2^4+1)(2^8+1)+1
=(2^8-1)(2^8+1)+1
=2^8-1+1
=2^8...
全部展开
(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2-1)(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2^2-1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2^4-1)(2^4+1)(2^8+1)+1
=(2^8-1)(2^8+1)+1
=2^8-1+1
=2^8
运用公式(a+b)(a-b)=a^2-b^2
收起
原式=(2-1)(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2²-1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2的四次幂-1)(2的四次幂+1)(2的八次幂+1)+1
=(2的八次幂-1)(2的八次幂+1)+1
=2的十六次幂但是(2+1)≠(2+1)(2-1)你算一下看他们相等不?真要命!!!...
全部展开
原式=(2-1)(2+1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2²-1)(2²+1)(2的四次幂+1)(2的八次幂+1)+1
=(2的四次幂-1)(2的四次幂+1)(2的八次幂+1)+1
=(2的八次幂-1)(2的八次幂+1)+1
=2的十六次幂
收起