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((x)/(3)+(1)/(x))^(5)...

`((x)/(3)+(1)/(x))^(5)`

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`((x)/(3)+(1)/(x))^(5)=.^(5)C_(0)((x)/(3))^(5)((1)/(x))^(0)+^(5)C_(1)((x)/(3))^(4)((1)/(x))^(1)+^(5)C_(2)((x)/(3))^(3)((1)/(x))^(2)+^(5)C_(3)((x)/(3))^(2)((1)/(x))^(3)+^(5)C_(4)((x)/(3))^(1)^(3)+^(5)C_(4)((x)/(3))^(1)((1)/(x))^(4)+^(5)C_(5)((x)/(3))^(0)((1)/(x))^(5)`
`=[(x^(5))/(243)]+[(5)/(1)xx(x^(4))/(81)xx(1)/(x)]+[(5xx4)/(2xx1)xx(x^(3))/(27)xx(1)/(x^(2)]]+[(5xx4)/(2xx1)xx(x^(2))/(9)xx(1)/(x^(3))]+[(5)/(1)xx(x)/(3)xx(1)/(x^(4))]+[1xx(1)/(x^(5))]`
`=(x^(5))/(243)+(5x^(3))/(81)+(10x)/(27)+(10)/(9x)+(5)/(3x^(3))+(1)/(x^(5))`
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