问题
解答题
计算:(2+1)(22+1)(24+1)(28+1)(216+1)(232+1).
答案
原式=(2-1)(2+1)(22+1)(24+1)(28+1)×(216+1)(232+1),
=(22-1)(22+1)(24+1)(28+1)(216+1)×(232+1),
=(24-1)(24+1)(28+1)(216+1)(232+1),
=(232-1)(232+1),
=264-1.
计算:(2+1)(22+1)(24+1)(28+1)(216+1)(232+1).
原式=(2-1)(2+1)(22+1)(24+1)(28+1)×(216+1)(232+1),
=(22-1)(22+1)(24+1)(28+1)(216+1)×(232+1),
=(24-1)(24+1)(28+1)(216+1)(232+1),
=(232-1)(232+1),
=264-1.