Pythagorean Triples

Algebra Level 2

If all the solutions to the equation \(a^2+b^2=c^2\) are of the form \(b = \frac{s^2-t^2}{2}, c = \frac{s^2+t^2}{2}\), then what is \(a\) in terms of \(s\) and \(t\)?

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