Establish the formula ab + (a-b/2)^2 = (a + b/2)^2 Show that a = 2n^2, b =
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Establish the formula ab + (a-b/2)^2 = (a + b/2)^2 Show that a = 2n^2, b = 2, gives rise to Plato's formula for Pythagorean triples, whereas a = (2n + 1)^2, b = 1, yields Pythagoras's own formula.
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