state gov UKPSC Police SI Mock Test 2024 Quantitative Aptitude Algebra Identities

if a2 + b2 + \(\frac{1}{{{a^2}}}\) + \(\frac{1}{{{b^2}}}\) = 4, a ≠ 0, b ≠ 0 , then the value of a4 + b4  is:

1
32
2
256
3
64
4
2
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