Question

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

Answer 1

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