化简(3+1)(3^2+1)(3^4+1)(3^8+1)
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/25 19:31:38
化简(3+1)(3^2+1)(3^4+1)(3^8+1)化简(3+1)(3^2+1)(3^4+1)(3^8+1)化简(3+1)(3^2+1)(3^4+1)(3^8+1)将式子乘以(3-1),再除以(3
化简(3+1)(3^2+1)(3^4+1)(3^8+1)
化简(3+1)(3^2+1)(3^4+1)(3^8+1)
化简(3+1)(3^2+1)(3^4+1)(3^8+1)
将式子乘以(3-1),再除以(3-1)
(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)/(3-1)
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)/(3-1)
=(3^4-1)(3^4+1)(3^8+1)/(3-1)
=(3^8-1)(3^8+1)/(3-1)
=(3^16-1)/(3-1)
=(3^16-1)/2
（3+1)(3^2+1)(3^4+1)(3^8+1)
=1/2*(3-1)*(3+1)(3^2+1)(3^4+1)(3^8+1)
=1/2(3^2-1)(3^2+1)(3^4+1)(3^8+1)
=1/2*(3^4-1)(3^4+1)(3^8+1)
=1*2(3^8-1)(3^8+1)
=1/2*(3^16-1)
希望你能找到规律