若(1012+25)2-(1012-25)2=10n,则n=_.

问题描述:

若(1012+25)2-(1012-25)2=10n,则n=______.

∵(1012+25)2-(1012-25)2
=1024+50×1012+252-1024+50×1012-252
=100×1012=1014
∴n=14,
故答案为:14.