__________________________We KNOW the algebraic identity:a³ + b³ + 3ab( a + B ) = ( a + b )³Or a³ + b³ = ( a + b )³ - 3ab( a + b )___________________________Here ,x + 1/x = √3 ----( 1 )Now , x³ + 1/x³ = ( x + 1/x )³ - 3.x.1/x(x + 1/x )= ( √3 )³ - 3( √3 ) [ from ( 1 ) ]= 3√3 - 3√3= 0Therefore ,Option ( a ) is correct.•••••
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