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数学
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计算:(2+1)(2的平方+1)(2的四次方+1).(2的32次方+1)的值.
人气:390 ℃ 时间:2019-08-18 17:31:54
解答
(2+1)(2^2+1)(2^4+1)...(2^32+1)
=(2-1)(2+1)(2^2+1)(2^4+1)...(2^32+1)
=(2^2-1)(2^2+1)(2^4+1)...(2^32+1)
.
=(2^32-1)(2^32+1)
=2^64-1
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