(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32希望把过程写出来,谢谢!...
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32 希望把过程写出来,谢谢!
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解
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^8-1)(2^8+1)(2^16+1)-2^32
=(2^16-1)(2^16+1)-2^32
=2^32-1-2^32
=-1
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^8-1)(2^8+1)(2^16+1)-2^32
=(2^16-1)(2^16+1)-2^32
=2^32-1-2^32
=-1
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