$$\frac{ \sqrt{ 3+2x } +y \sqrt{ 3-2x } }{ \sqrt{ 3+2x } -y \sqrt{ 3-2x } } - \frac{ \sqrt{ 3-2x } +y \sqrt{ 3+2x } }{ \sqrt{ 3-2x } -y \sqrt{ 3+2x } }$$
$-\frac{8xy}{\sqrt{9-\left(-2x\right)^{2}}y^{2}+\sqrt{9-\left(2x\right)^{2}}-6y}$
$\frac{8y\left(\sqrt{3-2x}y\left(2x+3\right)^{\frac{3}{2}}-2xy\sqrt{9-4x^{2}}+3y\sqrt{9-4x^{2}}-9y^{2}-9\right)}{\sqrt{9-4x^{2}}\left(\left(-\sqrt{3-2x}y+\sqrt{2x+3}\right)\left(-\sqrt{2x+3}y+\sqrt{3-2x}\right)\right)^{2}}$
