(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Okay, basically why does (a[tex]_{}n[/tex] + b[tex]_{}n[/tex]) ignore the Fundamental Theory of Polynomials?

2. Relevant equations

... I could post them here, but basically when n is odd (a[tex]_{n}[/tex] + b[tex]_{n}[/tex]) = a series that looks like this: (a+b) (a[tex]_{n-1}[/tex] b[tex]_{0}[/tex] - a[tex]_{n-2}[/tex]b +a[tex]_{n-3}[/tex]b[tex]_{2}[/tex] + ... + a[tex]_{2}[/tex]b[tex]_{n-3}[/tex]-a[tex]_{1}[/tex]b[tex]_{n-2}[/tex]+b[tex]_{n-1}[/tex])

3. The attempt at a solution

I have done a lot on paper, but basically what I am looking for is WHY it isn't following Pascal's triangle. I have flipped through tons of mathematical journals and haven't slept in the past two days for other various reasons... I am doing this for a research class and has lost its proof after years and years of assuming that it is truth.

Argh. If anyone can help I would really appreciate it. If anyone has the proof to this that would be great.

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# Homework Help: Ignoring Fundamental Theorem of Polynomials (a^n + b^n)

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