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(2+1)*(2平方+1)*(2四次方+1)*(2八次方+1)······· (2的2n次方+1),··········

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/05/14 03:56:48
(2+1)*(2平方+1)*(2四次方+1)*(2八次方+1)······· (2的2n次方+1),··········
(2+1)*(2平方+1)*(2四次方+1)*(2八次方+1)······· (2的2n次方+1),··········
=(2-1)(2+1)*(2平方+1)*(2四次方+1)*(2八次方+1)······· (2的2n次方+1)
=(2²-1)(2²+1))*(2四次方+1)*(2八次方+1)······· (2的2n次方+1)
=(2^4-1)(2^4+1)*(2八次方+1)······· (2的2n次方+1)
……
=[(2^(2n)-1][2^(2n)+1]
=2^(4n)-1