Given m = X-Y, n = XY, try m, n denotes (x ^ 2 + y ^ 2) ^ 2
Original formula = (x ^ 2 + y ^ 2 + - 2XY + 2XY) ^ 2 = ((X-Y) ^ 2 + 2XY) ^ 2 = (m ^ 2 + 2n) ^ 2
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