【(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)】/(2^32-1)
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分母=2^32-1=(2^16+1)(2^16-1)
=(2^16+1)(2^8+1)(2^8-1)
=(2^16+1)(2^8+1)(2^4+1)(2^4-1)
=(2^16+1)(2^8+1)(2^4+1)(2^2+1)(2^2-1)
=(2^16+1)(2^8+1)(2^4+1)(2^2+1)（2+1）(2-1)
=分子
所以【(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)】/(2^32-1)
=1
=(2^16+1)(2^8+1)(2^8-1)
=(2^16+1)(2^8+1)(2^4+1)(2^4-1)
=(2^16+1)(2^8+1)(2^4+1)(2^2+1)(2^2-1)
=(2^16+1)(2^8+1)(2^4+1)(2^2+1)（2+1）(2-1)
=分子
所以【(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)】/(2^32-1)
=1
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【(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)
=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)
=1
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