If a, b,c> 0 and x,y,z in R then the de...

If `a, b,c> 0` and `x,y,z in R` then the determinant: `|((a^x+a^-x)^2,(a^x-a^-x)^2,1),((b^y+b^-y)^2,(b^y-b^-y)^2,1),((c^z+c^-z)^2,(c^z-c^-z)^2,1)|` is equal to

`2abc`

`a^2b^2c^2`

`abc`

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