化简 (3+1)(3^2+1)(3^4+1)(3^6+1)

问题描述:

化简 (3+1)(3^2+1)(3^4+1)(3^6+1)

=(3-1)(3+1)(3^2+1)(3^4+1)(3^6+1)/(3-1)
=(3^2-1)(3^2+1)(3^4+1)(3^6+1)/2
=(3^8-1)(3^6+1)/2
=(3^14+3^8-3^6-1)/2
=3^13+3^7-3^5-0.5