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The sum of first 10 terms of the series ...

The sum of first 10 terms of the series `:`
`(x+(1)/( x))^(2) + ( x^(2) + ( 1)/( x^(2)))^(2) + ( x^(3)+ ( 1)/( x^(3)))^(2) + "......"` is `:`

A

`((x^(20)-1)/(x^(2)-1))((x^(22)+1)/(x^(20)))+20`

B

`((x^(18)-1)/(x^(2)-1))((x^(11)+1)/(x^(9)))+20`

C

`((x^(18)-1)/(x^(2)-1))((x^(11)-1)/(x^(9)))+20`

D

`((x^(20)-1)/(x^(2)-1))((x^(22)-1)/(x^(20)))`

Text Solution

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The correct Answer is:
A
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