中科新闻网三福银饰是真的吗:(2+1)(2^2+1)(2^4+1)(2^8+1) +1
来源：百度文库 编辑：中科新闻网 时间：2024/05/03 22:53:57
利用平方差公式计算
(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=(2-1)*(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=2^16-1+1
=2^16
(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=(2-1)*(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=2^16-1+1
=2^16
原式等于=(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=(2-1)*(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=2^16-1+1
=2^16
(2+1)(2^2+1)(2^4+1)(2^6+1)(2^8+1)(2^10+1)......(2^2004+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)~~~~~~(2^32+1)+1
(2+1)(2^2+1)(2^4+1)(2^8+1) +1
(2+1)(2^2+1)(2^4+1)....(2^64+1)+1
计算（2+1）（2^2+1)(2^4+1)……(2^32+1)+1
(2+1)(2^2+1)(2^4+1)(2^8+1)+1
(2x-1)^2*(2x-1)^3+(2x-1)^4*(1-2x)
数(2+1)(2^2+1)(2^4+1)......(2^64+1)的个位数是多少?
(2+1)(2^2+1)(2^4+1)……(2^2006+1)