\(=\dfrac{2\left(\sqrt{5}+\sqrt{3}\right)}{5-3}-\dfrac{3\left(\sqrt{6}-\sqrt{3}\right)}{6-3}\\ =\dfrac{2\left(\sqrt{5}+\sqrt{3}\right)}{2}-\dfrac{3\left(\sqrt{6}-\sqrt{3}\right)}{3}\\ =\sqrt{5}+\sqrt{3}-\sqrt{6}+\sqrt{3}\\ =-\sqrt{6}+\sqrt{5}+2\sqrt{3}\)