[tex]1) x^2-2\sqrt{3}x+3 \\\\\\ \hbox{La formule general est:} \ a^2\pm2*a*b+b^2 \\\\ x^2\to a^2 \\\\ -2\sqrt{3}x \to - 2*a*b \\\\ 3\to b^2 \\\\\\ x^2-2\sqrt{3}x+3\to \boxed{\boxed{(x-\sqrt{3})^2}}[/tex]
[tex]2)5+4\sqrt{5}x+4x^2 \\\\ \hbox{J'appliquer la formule general} \\\\ 4x^2 \to a^2 \\\\ a=2x \\\\\\ 4\sqrt{5}x \to 2*a*b \ \ |:2 \\\\ 2\sqrt{5}x=ab \\\\ 2\sqrt{5}x=2x*b \\\\ \sqrt{5}=b \\\\\\ 5+4\sqrt{5}x+4x^2 \to \boxed{\boxed{(2x+\sqrt{5})^2}}[/tex]
