题目内容

(2+1)(22+1)(24+1)(28+1)(216+1)
232-1
=______.
∵(2+1)(22+1)(24+1)(28+1)(216+1),
=(2-1)(2+1)(22+1)(24+1)(28+1)(216+1),
=(22-1)(22+1)(24+1)(28+1)(216+1),
=(24-1)(24+1)(28+1)(216+1),
=(28-1)(28+1)(216+1),
=(216-1)(216+1),
=232-1.
(2+1)(22+1)(24+1)(28+1)(216+1)
232-1
=1.
故本题答案为1.
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