Question

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

Answer 1

$\frac{x\sqrt{x}+y\sqrt{x}-x\sqrt{y}}{x\sqrt{y}+y\sqrt{y}}$ = 
$\frac{x\sqrt{x}+y\sqrt{x}}{\sqrt{y}(x+y)}-\frac{x\sqrt{y}}{\sqrt{y}(x+y)}$ = 
$\frac{x\sqrt{x}+y\sqrt{x}}{\sqrt{y}(x+y)}-\frac{x\sqrt{y}}{\sqrt{y}(x+y)}$ = 
$\frac{\sqrt{x}}{\sqrt{y}}-\frac{x}{x+y}$