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Let \frac{x^2+y^2}{x^2-y^2} + \frac{x^2-y^2}{x^2+y^2} = k. Compute the following expression in terms of k: E(x,y) = \frac{x^8 + y^8}{x^8-y^8} - \frac{ x^8-y^8}{x^8+y^8} \text.

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