\(x^{3}-3=0\\ \Leftrightarrow x^{2}=3\\ \Leftrightarrow \left[\begin{array}{} x_1=\sqrt{3}\\ x_2=-\sqrt{3} \end{array} \right.\)
\(x^2-3=x^2-\sqrt{3^2}=\left(x-\sqrt{3}\right)\left(x+\sqrt{3}\right)\)
\(x^2-3=\left(x-\sqrt{3}\right)\left(x+\sqrt{3}\right)\)