若(1012+25)2-(1012-25)2=10n,则n=_.
问题描述:
若(1012+25)2-(1012-25)2=10n,则n=______.
答
∵(1012+25)2-(1012-25)2
=1024+50×1012+252-1024+50×1012-252,
=100×1012=1014,
∴n=14,
故答案为:14.