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If x+1/x=7 , find the value of x^3+1/(x^...

If `x+1/x=7` , find the value of `x^3+1/(x^3)`

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`x+1/x=7`
Cubing on both LHS and RHS we get,
`(x+1/x)^3=(7)^3`
`x^3+(1/x)^3+3\((x)+(1/x))^2=7^3`
By transporting we get
`x^3+1/x^3+343-343=0`
`x^3+1/(x^3)=0`
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