Question

if a + 1/a =√3 then a^3+1/a^3 is equal to?

Answer 1

(a+1/a)^3 = a^3 + 1/a^3 + 3* a* 1/a(a+1/a)
   √3³ = a³ + 1/a³ + 3(√3)
3√3 - 3√3 = a³ + 1/a³
so, 
a³ + 1/a³ = 0
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