Đáp án+Giải thích các bước giải:
`(\frac{\sqrt{x^3}+\sqrt{y^3}}{\sqrt{x}+\sqrt{y}}-\sqrt{xy}).(\frac{\sqrt{x}+\sqrt{y}}{x-y})(x>=0,y>=0,x\ney)`
`=(\frac{(\sqrt{x}+\sqrt{y})(x-\sqrt{xy}+y)}{\sqrt{x}+\sqrt{y}}-\sqrt{xy}).(\frac{\sqrt{x}+\sqrt{y}}{(\sqrt{x}-\sqrt{y})(\sqrt{x}+\sqrt{y})})`
`=(x-\sqrt{xy}+y-\sqrt{xy}).\frac{1}{\sqrt{x}-\sqrt{y}}`
`=\frac{x-2\sqrt{xy}+y}{\sqrt{x}-\sqrt{y}}`
`=\frac{(\sqrt{x}-\sqrt{y})^2}{\sqrt{x}-\sqrt{y}}`
`=\sqrt{x}-\sqrt{y}`
