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If x^2+1/(x^2)=83. find the value of x^...

If `x^2+1/(x^2)=83.` find the value of `x^3-1//x^3`

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`(x-1/x)^2=x^2+1/x^2-2....{by(a-b)^2}`
`(x-1/x)^2=81`
`(x-1/x)=9`
`(x-1/x)^3=9^3`
`x^3-1/x^3-3\(x-1/x)=729....{by(a-b)^3}`
`x^3-1/x^3-3xx9=729`
`x^3-1/x^3=729+27`
`x^3-1/x^3=756`
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