( 2 + 3 2 - 3 + 2 - 3 2 + 3 + 3 - 1 3 + 1 ) simplifies to = ?

Answer: Option A

Given expression,
$$=\frac{\left(2+\sqrt{3}\right)}{\left(2-\sqrt{3}\right)}\times \frac{\left(2+\sqrt{3}\right)}{\left(2+\sqrt{3}\right)}$$     $$+\frac{\left(2-\sqrt{3}\right)}{\left(2+\sqrt{3}\right)}$$   $$\times \frac{\left(2-\sqrt{3}\right)}{\left(2-\sqrt{3}\right)}$$   $$+\frac{\left(\sqrt{3}-1\right)}{\left(\sqrt{3}+1\right)}$$   $$\times \frac{\left(\sqrt{3}-1\right)}{\left(\sqrt{3}-1\right)}$$
$$=\frac{{\left(2+\sqrt{3}\right)}^2}{\left(4-3\right)}+\frac{{\left(2-\sqrt{3}\right)}^2}{\left(4-3\right)}$$     $$+\frac{{\left(\sqrt{3}-1\right)}^2}{\left(3-1\right)}$$
$$=\left[{\left(2+\sqrt{3}\right)}^2+{\left(2-\sqrt{3}\right)}^2\right]$$     $$+\frac{4-2\sqrt{3}}{2}$$
$$=2\left(4+3\right)+2-\sqrt{3}$$
$$=16-\sqrt{3}$$