$\left|\begin{array}{cc}\mathrm{x}+1 & \mathrm{x}-1 \ \mathrm{x}^2+\mathrm{x}+1 & \mathrm{x}^2-\mathrm{x}+1\end{array}\right|$ is equal to :

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\(\left|\begin{array}{cc}\mathrm{x}+1 & \mathrm{x}-1 \\ \mathrm{x}^2+\mathrm{x}+1 & \mathrm{x}^2-\mathrm{x}+1\en…