If x, y, z ∈ R, the value of the determinant 2x+2-x22x-2-x213x+3-x23 – InterviewSolution

1.	If x, y, z ∈ R, the value of the determinant 2x+2-x22x-2-x213x+3-x23x-3-x214x+4-x24x-4-x21 is equal to ________________.
Answer» If x, y, z ∈ R, the value of the determinant $\|\begin{matrix} {(2^{x} + 2^{- x})}^{2} & {(2^{x} - 2^{- x})}^{2} & 1 \\ {(3^{x} + 3^{- x})}^{2} & {(3^{x} - 3^{- x})}^{2} & 1 \\ {(4^{x} + 4^{- x})}^{2} & {(4^{x} - 4^{- x})}^{2} & 1 \end{matrix}\|$ is equal to ________________.

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