Question

сократите дробь 2√x - 3√y/4x-9y

Answer 1

$frac{2sqrt{x}-3sqrt{y}}{4x-9y}=frac{sqrt{4x}-sqrt{9y}}{4x-9y}=frac{(sqrt{4x}-sqrt{9y})(sqrt{4x}+sqrt{9y})}{(4x-9y)(sqrt{4x}+sqrt{9y})}=frac{4x-9y}{(4x-9y)(sqrt{4x}+sqrt{9y})}= \ \ =frac{1}{sqrt{4x}+sqrt{9y}}=frac{1}{2sqrt{x}+3sqrt{y}}$