Let $M$ and $m$ respectively be the maximum and the minimum values of $f\left(x\right)=\left|\begin{matrix}1+{\sin }^{2}x & {\cos }^{2}x & 4\sin 4x \ {\sin }^{2}x & 1+{\cos }^{2}x & 4\sin 4x \ {\sin }^{2}x & {\cos }^{2}x & 1+4\sin 4x\end{matrix}\right|,$$x\in R$. Then ${M}^{4}-{m}^{4}$ is equal to :

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Let \(M\) and \(m\) respectively be the maximum and the minimum values of \(f\left(x\right)=\left|\begin{matrix}1+{\sin …

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