\(=\frac{\left(\sqrt{x}-\sqrt{4y}\right)\left(\sqrt{x}-\sqrt{y}\right)}{\left(\sqrt{x}+\sqrt{y}\right).\left(\sqrt{x}-\sqrt{y}\right)}+\frac{3x.\left(x-\sqrt{xy}\right)}{\left(x+\sqrt{xy}\right).\left(x-\sqrt{xy}\right)}\)
\(=\frac{\left(\sqrt{x}-2.\sqrt{y}\right).\left(\sqrt{x}-\sqrt{y}\right)}{x-y}+\frac{3x.\sqrt{x}.\left(\sqrt{x}-\sqrt{y}\right)}{x^2-xy}\)
\(=\frac{\left(\sqrt{x}-2.\sqrt{y}\right).\left(\sqrt{x}-\sqrt{y}\right)}{x-y}+\frac{3x\sqrt{x}.\left(\sqrt{x}-\sqrt{y}\right)}{x.\left(x-y\right)}\)
\(=\frac{\left(\sqrt{x}-2.\sqrt{y}\right).\left(\sqrt{x}-\sqrt{y}\right)}{x-y}+\frac{3\sqrt{x}.\left(\sqrt{x}-\sqrt{y}\right)}{x-y}\)
\(=\frac{\left(\sqrt{x}-2.\sqrt{y}\right).\left(\sqrt{x}-\sqrt{y}\right)+3.\sqrt{x}.\left(\sqrt{x}-\sqrt{y}\right)}{x-y}\)
\(=\frac{\left(\sqrt{x}-\sqrt{y}\right).\left(\sqrt{x}-2.\sqrt{y}+3.\sqrt{y}\right)}{\left(\sqrt{x}-\sqrt{y}\right).\left(\sqrt{x}+\sqrt{y}\right)}\)
\(=\frac{\left(\sqrt{x}-\sqrt{y}\right).\left(\sqrt{x}+\sqrt{y}\right)}{\left(\sqrt{x}-\sqrt{y}\right).\left(\sqrt{x}+\sqrt{y}\right)}\)
\(=1\)
