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I've been thinking about this for some time. Now I'm coming on here in the hope of getting some help;

Prove that

I can't quite remember the restrictions on

Thanks in advance! :)

EDIT: The way to do this would probably be through the method of mathematical induction, since that was the subject of class the day this problem was given.

Prove that

**a**is divisible by^{n+3}+ (a + 1)^{2n+3}**a**.^{2}+ a + 1I can't quite remember the restrictions on

**n**, though I'd imagine it'd be "**for all real n ≥ -1**" or something similar.Thanks in advance! :)

EDIT: The way to do this would probably be through the method of mathematical induction, since that was the subject of class the day this problem was given.

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