(2+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)的值为?

来源：百度知道编辑：UC知道时间：2024/06/08 04:41:35

2^依次表示为2的2次方,2 的4次方,2的8次方,2的16次方,2的32次放,2的62次方

(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)

乘一个(2-1)再除一个(2-1)

根据平方差公式可以一步一步地消掉,

(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)

=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)

=(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)

=(2^8-1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)

=(2^16-1)(2^16+1)(2^32+1)(2^64+1)

=(2^32-1)(2^32+1)(2^64+1)

=(2^64-1)(2^64+1)

=2^128-1

(2+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)=
(2-1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)=
(2^2-1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)=
……
2^128-1

(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=（2-1）(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=（2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=2^128-1

(2+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)=
(2-1)(2+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)/(2-1)=
(2^2-1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)/(2-

1( )2( ) (1-√2)^2+(√2-1)^2(√2-1)^2+(-√2-1)^2 (2+1)(2^2+1)(2^4+1)(2^6+1)(2^8+1)(2^10+1)......(2^2004+1) 1^2+2^2+...+n^2=? (2+1)(2^2+1)(2^4+1)(2^8+1)(2^32+1) 1+1大于2 (2+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)(2^+1)的值为? 2+2^1+2^2+2^3+...+2^2006=? 计算（2+1）（2^2+1）（2^4+1）+。。。。+（2^2n+1) 计算(2+1)(2^2+1)(2^4+1)……(2^2n+1)