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1. The problem statement, all variables and given/known data

What is the remainder when (a+b+c)^333-a^333-b^333-c^333 is divided by (a+b+c)^3-a^3-b^3-c^3?

2. Relevant equations

None

3. The attempt at a solution

I tried this

(a+b+c)^333-a^333-b^333-c^333 = Q{(a+b+c)^3-a^3-b^3-c^3}+h

where h is the remainder

I proceeded further but only managed to work out that Q>(a+b+c)^330.

I don't know how to attack this types of problem.

Please help!

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# What is the remainder?

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