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Prove the Basic Principal of Difference of squares: If x2 ≡ y2 (mod n) and x...

Prove the Basic Principal of Difference of squares: If x2 ≡ y2 (mod n) and x is not ± y, where x and y lie in the range {0, … , n-1}, then n is composite and has gcd(x-y, n) as a non-trivial factor.

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