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3(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)-2^64=

分类: 作业答案 • 2022-07-19 14:19:56
问题描述：

3(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)-2^64=

答

3(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)-2^64
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)-2^64
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)-2^64
=(2^8-1)(2^8+1)(2^16+1)(2^32+1)-2^64
=(2^16-1)(2^16+1)(2^32+1)-2^64
=(2^32-1)(2^32+1)-2^64
=2^64-1-2^64
=-1

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