Undergraduate College Student.

I have seen many users do this (Idk why they do it, but anyways), so here it is for me: (this is not according to upvotes, but according to the effort I undertook and/or the insight I gained from answering the question)

Some of my best answers: I gained most insight about my own thought-processes from this: Question about Intermediate Value Theorem and phrasing proof

1. Help learning and understanding polynomial factorizations
2. Seek a multiplication formula for $x^2+xy+y^2$
3. Calculate $\binom{1000}{3}+\binom{1000}{8}+\binom{1000}{13}+...+\binom{1000}{998}=?$ using complex numbers
4. Centered hexagonal numbers
5. How should I prove this vectors question?