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For real numbers a, b (a gt b gt 0), let...

For real numbers `a, b (a gt b gt 0)`, let
Area `{(x, y): x^(2) + y^(2) le a^(2) and (x^(2))/(a^(2)) + (y^(2))/(b^(2)) gt 1} = 30 pi and {(x, y): x^(2) + y^(2) ge b^(2) and (x^(2))/(a^(2)) + (y^(2))/(b^(2)) le 1} = 18pi`
Then the value of `(a- b)^(2)` is equal to _____

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