2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)怎么样算简便

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/26 15:36:14
2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)怎么样算简便2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)怎么样算简便2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)怎

2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)怎么样算简便
2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)怎么样算简便

2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)怎么样算简便
(2+1)(2乘2+1)(4个2相乘+1)(8个2相乘+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)
=(2^4-1)(2^4+1)(2^8+1)
=(2^8-1)(2^8+1)
=2^16-1
=65536-1
=65535