(2+1)(22+1)(24+1)(28+1)(216+1)+1=_.

问题描述:

(2+1)(22+1)(24+1)(28+1)(216+1)+1=______.

原式=(2-1)(2+1)(22+1)(24+1)(28+1)(216+1)+1
=(22-1)(22+1)(24+1)(28+1)(216+1)+1
=(24-1)(24+1)(28+1)(216+1)+1
=(28-1)(28+1)(216+1)+1
=(216-1)(216+1)+1
=232-1+1
=232
故答案为:232