\([sin(\frac{11\pi}{6}) - tan(\frac{5\pi}{6})][sin(\frac{11\pi}{6}) + tan(\frac{5\pi}{6})]\)
\([sin(330) - tan(150)][sin(330) + tan(150)]\)
\([-\frac{1}{2} - (-\frac{\sqrt{3}}{3})][-\frac{1}{2} + (-\frac{\sqrt{3}}{3})]\)
\([-\frac{1}{2} + \frac{\sqrt{3}}{3}][-\frac{1}{2} - \frac{\sqrt{3}}{3}]\)
\([-\frac{3}{6} + \frac{2\sqrt{3}}{6}}][-\frac{3}{6} - \frac{2\sqrt{3}}{6}]\)
\([\frac{-3 + 2\sqrt{3}}{6}][\frac{-3 - 2\sqrt{3}}{6}]\)
\(\frac{9 - 4\sqrt{9}}{36}\)
\(\frac{9 - 4(3)}{36}\)
\(\frac{9 - 12}{36}\)
\(\frac{-3}{36}\)
\(-\frac{1}{12}\)