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If x=(sqrt5)+1 and y=(sqrt5)-1, then wha...

If `x=(sqrt5)+1` and `y=(sqrt5)-1`, then what is the value of `(x^2//y^2)+ (y^2//x^2) + 4[(x//y) + (y//x)] + 6`?

A

31

B

`23 sqrt5`

C

`27 sqrt5`

D

25

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