波士顿矩阵分析京东:数学问题

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计算(请写清详细过程)
(2^2+1)(2^4+1)(2^8+1)(2^16+1)……(2^64+1)

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