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Deduce that if (a, b, c) is any Pythagorean triple then a c = p2 q2 /p2 + q2 , b c = 2pq

Deduce that if (a, b, c) is any Pythagorean triple then a c = p2 − q2 /p2 + q2 , b c = 2pq /p2 + q2 for some integers p and q.


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