Răspuns :
[tex]3 {x}^{2} + 2 \sqrt{6} xy + 2 {y}^{2} [/tex] dupa formula(a+b) totul la patrat este = a patrat + 2ab + b patrat
[tex] {( \sqrt{3}x + \sqrt{2}y ) }^{2} [/tex]
[tex] = {( \sqrt{3}x) }^{2} + 2 \times \sqrt{3} x \times \sqrt{2} y + {( \sqrt{2} y)}^{2} [/tex]
[tex] = 3 {x}^{2} + 2 \sqrt{6} xy + 2 {y}^{2} [/tex]
[tex] = {( \sqrt{3}x) }^{2} + 2 \times \sqrt{3} x \times \sqrt{2} y + {( \sqrt{2} y)}^{2} [/tex]
[tex] = 3 {x}^{2} + 2 \sqrt{6} xy + 2 {y}^{2} [/tex]