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x = a+1/a, y = a-1/a
to find, x^4 + y^4 - 2x^2y^2
=>x^4 + y^4 - 2x^2y^2 = (x^2 - y^2)^2
(x^2 - y^2)^2
= [(a+1/a)^2 - (a-1/a)^2]^2
= [(a^2 + 1/a^2 +2)] - (a^2 + 1/a^2 - 2)]
= (a^2 + 1/a^2 +2 - a^2 -1/a^2 + 2)^2
= (4)^2
= 16
So, x^4 + y^4 - 2x^2y^2 = 16
Hope it helps !!!!
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