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If x= frac(a)(b) + frac(b)(a) and y = fr...

If `x= frac(a)(b) + frac(b)(a)` and `y = frac(a)(b) - frac(b)(a)` then show that `x^4+y^4 - 2x^2y^2 = 16`

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If x = a + frac(1)(a) and y = a - frac(1)(a) then find the value of x^4 +y^4 - 2x^2y^2

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