Let d=GCD(n(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}+n-2,n^{3}+2n-1). Find d if d=1(mod 2) & d > 1.

So we know d|n^{2}+n-2 & d|n^{3}+2n-1.

My question is simply this, the professor wrote down hence d|n^{3}+n^{2}-2n, right after what is written above. But I'm just not seeing how you get that combination. I understand how to work the problem, just not that one step & I'm probably just over-looking something really simple.

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# Abstract Algebra

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