Question

Answer 1

\(=\dfrac{x\sqrt{x}+x\sqrt{y}-y\sqrt{x}-y\sqrt{y}-x\sqrt{x}+y\sqrt{y}}{x-y}:\dfrac{\left(\sqrt{x}-\sqrt{y}\right)^2}{\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)}\)

\(=\dfrac{\sqrt{xy}\left(\sqrt{x}-\sqrt{y}\right)}{x-y}\cdot\dfrac{\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)}{\left(\sqrt{x}-\sqrt{y}\right)^2}\)

\(=\dfrac{\sqrt{xy}\left(x-\sqrt{xy}+y\right)}{\left(\sqrt{x}-\sqrt{y}\right)^2}\)