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(2+1)(2^2+1)(2^4+1) (2^8+1) (2^16+1) (2^32+1)=?

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/24 06:30:19
(2+1)(2^2+1)(2^4+1) (2^8+1) (2^16+1) (2^32+1)=?
(2+1)(2^2+1)(2^4+1) (2^8+1) (2^16+1) (2^32+1)
=(2-1)(2+1)(2^2+1)(2^4+1) (2^8+1) (2^16+1) (2^32+1)
=(2^2-1)(2^2+1)(2^4+1) (2^8+1) (2^16+1) (2^32+1)
=(2^4-1)(2^4+1) (2^8+1) (2^16+1) (2^32+1)
=(2^8-1)(2^8+1) (2^16+1) (2^32+1)
=(2^16-1)(2^16+1)(2^32+1)
=(2^32-1)(2^32+1)
=2^64-1