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As, x+ 1/x= aSquaring both sides,x^2+ 1/x^2=a^2 -2........ Eqn 1Now cubing x+1/x=ax^3 +1/x^3= a^3-3a.........eqn2Now adding 1 and 2,x^2+ 1/x^2+ 1/x^3+ x^3= a^3+a^2 -3a-2If x^2+1/x^3= b, thenx^3 +1/x^2= a^3+a^2-3a-2-b
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