(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=______.
答
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