问题
填空题
计算:(2+1)(22+1)(24+1)…(232+1)+1=______.
答案
原式=(2-1)(2+1)(22+1)(24+1)…(232+1)+1
=(22-1)(22+1)(24+1)…(232+1)+1
=(24-1)(24+1)…(232+1)+1
=264-1+1
=264;
故本题答案为264.
计算:(2+1)(22+1)(24+1)…(232+1)+1=______.
原式=(2-1)(2+1)(22+1)(24+1)…(232+1)+1
=(22-1)(22+1)(24+1)…(232+1)+1
=(24-1)(24+1)…(232+1)+1
=264-1+1
=264;
故本题答案为264.