\[ \sqrt {a^{2}\cos^{2}\theta + b^{2}\sin^{2}\theta} + \sqrt {a^{2}\sin^{2}\theta + b^{2}\cos^{2}\theta}\]

Denote \(u\) as the value of the expression above, then the difference between maximum and minimum values of \(u^{2}\) is?

This problem is part of the set Trigonometry.

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