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If $f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}$ is defined by $f(x)=x+\frac{1}{x}$ and if $f^k(x)=[f(x)]^k$ for $k \geq 1$ then $f^4(x)-f\left(x^4\right)-4 f^2(x)=$
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