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(2/x-x/2)^5...

`(2/x-x/2)^5`

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`((2)/(x)-(x)/(2))^(5)`
`=^(5)C_(0)((2)/(x))^(5)(-(x)/(2))^(0)+^(5)C_(1)((2)/(x))^(4)(-(x)/(2))^(1)`
`+^(5)C_(2)((2)/(x))^(3)(-(x)/(2))^(2)+^(5)C_(5)((2)/(x))^(2)(-(x)/(2))^(3)`
`+^(5)C_(4)((2)/(x))^(1)(-(x)/(2))^(4)+^(5)C_(5)((2)/(x))^(0)(-(x)/(2))^(5)`
`=[(1)/(1)xx(32)/(x^(5))xx1]-[(5)/(1)xx(16)/(x^(4))xx(x)/(2)]`
`+[(5xx4)/(2xx1)xx(8)/(x^(3))xx(x^(2))/(4)]-[(5xx4)/(2xx1)xx(4)/(x^(2))xx(x^(3))/(8)]`
`+[(5)/(1)xx(2)/(x)xx(x^(4))/(16)]-[(1)/(1)xx1xx(x^(5))/(32)]`
`=(32)/(x^(5))-(40)/(x^(3))+(20)/(x)-5x+(5)/(8)x^(3)-(x^(5))/(32)`
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