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(2+1)(4+1)(16+1)(256+1)(65536+1)=?

题目详情
(2+1)(4+1)(16+1)(256+1)(65536+1)=?
▼优质解答
答案和解析
(2+1)(4+1)(16+1)(256+1)(65536+1)
=(2-1)(2+1)(4+1)(16+1)(256+1)(65536+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)
=(2^8-1)(2^8+1)(2^16+1)
=2^32-1