8у^2-48кореньиз 2 у=разложите на множители

[latex]8y^2-48\sqrt{2}y=8y*y-8y*6\sqrt{2}=8y(y-6\sqrt{2})[/latex] [latex]8y^2-48\sqrt{2y}=8\sqrt{y}*y\sqrt{y}-8\sqrt{y}*6\sqrt{2}=\\\\8\sqrt{y}(y\sqrt{y}-6\sqrt{2})[/latex] [latex]6x^2+8y^2-48\sqrt{2}y+144=0[/latex] [latex]6x^2+8(y^2-6\sqrt{2}y+18)=0[/latex] [latex]6x^2+8(y-3\sqrt{2})^2=0[/latex] [latex]\frac{x^2}{4}+\frac{(y-3\sqrt{2})^2}{3}=0[/latex]