find x³+1/x³ if x+1/x=3
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x+1/x=3[Given]
Cubing both sides.,
(x+1/x)³=(3)³
(x)³+(1/x)³+3×x×1/x(x+1/x)=27
x³+1/x³+3×3=27[x+1/x=3]
x³+1/x³+9=27
x³+1/x³=27-9
x³+1/x³=18
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