计算【a+1][a-1][a^2+1][a^4+1].[a^2n+1]

来源：学生作业帮助网编辑：作业帮时间：2024/05/04 15:27:53

计算【a+1][a-1][a^2+1][a^4+1].[a^2n+1]
计算【a+1][a-1][a^2+1][a^4+1].[a^2n+1]

计算【a+1][a-1][a^2+1][a^4+1].[a^2n+1]
原式=(a²-1)(a²+1)(a^4+1)……[a^(2^n)+1]
=(a^4-1)(a^4+1)……[a^(2^n)+1]
反复用平方差
=a^[2^(n+1)]-1