[tex]n=(\sqrt{6}-3)^{2} +(\sqrt{2}+3)^{2}+(\sqrt{3}-\sqrt{6})(\sqrt{6}+\sqrt{3})=[/tex]
[tex]n=\sqrt{6}^{2}-6\sqrt{6}+3^{2} +\sqrt{2}^{2}+6\sqrt{2}+3^{2}+(\sqrt{3}-\sqrt{6})(\sqrt{3}+\sqrt{6})[/tex]
[tex]n=6+6\sqrt{6}+9+2+6\sqrt{6}+9+(3-6)[/tex]
[tex]n=6+9+2+9+(-3)[/tex]
[tex]n=26-3[/tex]
[tex]\boxed{n=23}[/tex]
n [tex] \in [/tex] |N
Formule de calcul prescurtat
[tex]\boxed{ (a+b)^{2}=a^{2}+2ab+b^{2}}[/tex]
[tex]\boxed{ (a-b)^{2}=a^{2}-2ab+b^{2}}[/tex]
[tex]\boxed{ (a+b)(a-b)=a^{2}-b^{2}}[/tex]
