How would you determine an $n$ value given: $$\gcd(n^2+100,n^2+2n+101)$$
I found the solution off a website, and I don't understand anything past the first step, found in solution 4:
https://artofproblemsolving.com/wiki/index.php/1985_AIME_Problems/Problem_13#Solution_4
Could someone please explain?
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