\(B=\left(\frac{x\sqrt{x}+y\sqrt{y}}{\sqrt{x}+\sqrt{y}}-\sqrt{xy}\right):\left(\sqrt{x}-\sqrt{y}\right)^2\)
\(=\left(\frac{\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)}{\left(\sqrt{x}+\sqrt{y}\right)}-\sqrt{xy}\right):\left(\sqrt{x}-\sqrt{y}\right)^2\)
\(=\left(x-\sqrt{xy}+y-\sqrt{xy}\right):\left(\sqrt{x}-\sqrt{y}\right)^2\)
\(=\frac{\left(\sqrt{x}-\sqrt{y}\right)^2}{\left(\sqrt{x}-\sqrt{y}\right)^2}=1\)
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