(2²+1)(2的四次方+1)(2的八次方+1)(2的16次方+1)

来源：学生作业学帮网编辑：学帮网时间：2024/05/27 11:42:52

(2²+1)(2^4+1)(2^8+1)(2^16+1)
=(2²-1)(2²+1)(2^4+1)(2^8+1)(2^16+1)/(2²-1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)/3
=(2^8-1)(2^8+1)(2^16+1)/3
=(2^16-1)(2^16+1)/3
=(2^32-1)/3