Упростите подробно пожалуйста)

Решите задачу:

$(\frac{x\sqrt{y}+y\sqrt{x}}{y^{2}-x^{2}})(\frac{\sqrt{x}}{x-\sqrt{xy}} + \frac{\sqrt{y}}{y-\sqrt{xy}})=\\\ =(\frac{x\sqrt{y}+y\sqrt{x}}{y^{2}-x^{2}})(\frac{\sqrt{x}}{\sqrt{x}(\sqrt{x}-\sqrt{y})} + \frac{\sqrt{y}}{\sqrt{y}(\sqrt{y}-\sqrt{x})})=\\\ =(\frac{x\sqrt{y}+y\sqrt{x}}{y^{2}-x^{2}})(\frac{1}{\sqrt{x}-\sqrt{y}} + \frac{1}{\sqrt{y}-\sqrt{x}})=\\\ =(\frac{x\sqrt{y}+y\sqrt{x}}{y^{2}-x^{2}})(\frac{1}{\sqrt{x}-\sqrt{y}} - \frac{1}{\sqrt{x}-\sqrt{y}})=\\\ =(\frac{x\sqrt{y}+y\sqrt{x}}{y^{2}-x^{2}})*0=0$