问题 填空题
(2+1)(22+1)(24+1)(28+1)(216+1)
232-1
=______.
答案

∵(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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