If x = (a+1/a) and y = (a-1/a) then x⁴+y⁴-2x²y² is ???
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Step-by-step explanation:
x⁴+y⁴ -2x²y²
(x²-y²)²
(x+y)²(x-y)²
so by solving x+y =a+1/a+ a-1/a =2a
so by solving x-y=a+1/a-a-1/a=2/a
(2a)²×(2/a)²
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