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Step-by-step explanation:
a²+1/a²=23
a²+1/a²+2=25
we know that,a²+b²+2ab=(a+b)²
(a+1/a)²=25
a+1/a=sq. 25=5
a³+1/a³=(a+1/a³=(a+1/a)(a²+1/a²‐ab)
as we know that a³+b³=(a+b)(a²+b²-ab)
a²+1/a³=5(23‐1)
a³+1/a³=5(22)
=>110
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