ПОМОГИТЕ!!! СРОЧНО!!! ДАЮ 15 БАЛЛОВ, НЕ СЛОЖНО!!!

Решите задачу:

$\displaystyle\tt \bigg(\frac{15}{\sqrt{6}+1}+\frac{4}{\sqrt{6}-2}-\frac{12}{3-\sqrt{6}}\bigg)\cdot(\sqrt{6}+11)=\\\\\\=\bigg(\frac{15(\sqrt{6}-1)}{6-1}+\frac{4(\sqrt{6}+2)}{6-4}-\frac{12(3+\sqrt{6})}{9-6}\bigg)\cdot(\sqrt{6}+11)=\\\\\\=\bigg(\frac{15(\sqrt{6}-1)}{5}+\frac{4(\sqrt{6}+2)}{2}-\frac{12(3+\sqrt{6})}{3}\bigg)\cdot(\sqrt{6}+11)=\\\\\\=(3(\sqrt{6}-1)+2(\sqrt{6}+2)-4(3+\sqrt{6}))\cdot(\sqrt{6}+11)=\\\\\\=(3\sqrt{6}-3+2\sqrt{6}+4-12-4\sqrt{6})\cdot(\sqrt{6}+11)=$

$\tt =(\sqrt{6}-11)\cdot(\sqrt{6}+11)=6-121=-115$