\(P=\frac{x\sqrt{2}}{2\sqrt{x}+x\sqrt{2}}+\frac{\sqrt{2x}-2}{x-2}\)
\(P=\frac{x\sqrt{2}}{\sqrt{2x}\left(\sqrt{x}+\sqrt{2}\right)}+\frac{\sqrt{2}\left(\sqrt{x}-\sqrt{2}\right)}{\left(\sqrt{x}-\sqrt{2}\right)\left(\sqrt{x}+\sqrt{2}\right)}\)
\(P=\frac{\sqrt{x}}{\sqrt{x}+\sqrt{2}}+\frac{\sqrt{2}}{\sqrt{x}+\sqrt{2}}\)
\(P=\frac{\sqrt{x}+\sqrt{2}}{\sqrt{x}+\sqrt{2}}=1\)
Vậy....