1.满足n^3+100能被n+10整除的最大正整数n=______.
n^3+100
=n^3+1000-900
=(n+10)*(n^2-10n+100)-900
∴如果(n+10)|(n^3+100)
那么：(n+10)|900
∴n+10 1.满足n^3+100能被n+10整除的最大正整数n=______.
n^3+100
=n^3+1000-900
=(n+10)*(n^2-10n+100)-900
∴如果(n+10)|(n^3+100)
那么：(n+10)|900
∴n+10