state gov WBPSC Food SI Mock Test 2023 Quantitative Aptitude Algebra Identities

If \(a-\frac{1}{a}=3~\) then \(a^6-\frac{1}{a^6}\) is equal to:

1
\(360 \sqrt{13} \) 
2
1331 
3
729 
4
\(310 \sqrt{13} \)
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