Сократите дробь x√x+y√x-x√y на x√y+y√y

[latex]\frac{x\sqrt{x}+y\sqrt{x}-x\sqrt{y}}{x\sqrt{y}+y\sqrt{y}}[/latex] =  [latex]\frac{x\sqrt{x}+y\sqrt{x}}{\sqrt{y}(x+y)}-\frac{x\sqrt{y}}{\sqrt{y}(x+y)}[/latex] =  [latex]\frac{x\sqrt{x}+y\sqrt{x}}{\sqrt{y}(x+y)}-\frac{x\sqrt{y}}{\sqrt{y}(x+y)}[/latex] =  [latex]\frac{\sqrt{x}}{\sqrt{y}}-\frac{x}{x+y}[/latex]