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

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

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`(x^(1/3)+x^(-1/3))(x^(2/3)+x^(-2/3)-1)`
Putting `x=3`,
`=(3^(1/3)+3^(-1/3))(3^(2/3)+3^(-2/3)-1)`
`=(3^(1/3)+1/3^(1/3))(3^(2/3)+1/3^(2/3)-1)`
`=((3^(1/3)xx3^(1/3)+1)/3^(1/3))((3^(2/3)xx3^(2/3)+1-1xx3^(2/3))/3^(2/3))`
Using, `a^mxxa^n=a^(m+n)`
`=((3^(1/3+1/3)+1)/3^(1/3))((3^(2/3+2/3)+1-3^(2/3))/(3^(2/3)))`
`=((3^(2/3)+1)/3^(1/3))((3^(4/3)+1-3^(2/3))/3^(2/3))`
`=((3^(2/3)+1)(3^(4/3)+1-3^(2/3)))/(3^(1/3)xx3^(2/3))`
`=10/3`
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