作业帮化简(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/07 10:32:09
化简(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
化简(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
化简(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=2^512-1
(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=2^512-1
原式=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)=(2^4-1)(2^4+1)(2^8+1)…(2^256+1)=2^512-1
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