I have a problem, I want to run the function FullSimplify, but it seems that my computer does not have enough capacity of process, because it cannot give me any result after 4-5 hours. Could you give me any advice about how to enhance the use of process capacity of mathematica in my computer?

My System: Processor: Intel Core i7-3630QM CPU @ 2.40GHz RAM: 8GB (6.5GB usable) System type: 64-bit Operating System

FullSimplify[(Sec[\[Gamma]]^2 ((-\[Omega]x (-3 Sqrt[3] bb1^2 - 
            Sqrt[3] bb1 bb2 - 4 Sqrt[3] bb1 bb3 + 2 Sqrt[3] bb2 bb3 + 
            2 Sqrt[3] (bb1 + 2 bb2) (bb1 + 2 bb3) Cos[2 \[Gamma]] + 
            Sqrt[3] (bb1^2 + 3 bb1 bb3 + 2 bb2 bb3) Cos[4 \[Gamma]] - 
            6 bb1^2 Sin[2 \[Gamma]] - 12 bb1 bb3 Sin[2 \[Gamma]] + 
            3 bb1^2 Sin[4 \[Gamma]] + 6 bb1 bb2 Sin[4 \[Gamma]] + 
            3 bb1 bb3 Sin[4 \[Gamma]] + 
            6 bb2 bb3 Sin[
              4 \[Gamma]]) - \[Omega]y Cos[\[Beta]] (3 bb1^2 + 
            3 bb1 bb2 + 6 bb1 bb3 + 6 bb2 bb3 - 
            6 bb1 (bb2 - bb3) Cos[2 \[Gamma]] - 
            3 (bb1 + 2 bb2) (bb1 + bb3) Cos[4 \[Gamma]] + 
            4 Sqrt[3] bb1^2 Sin[2 \[Gamma]] + 
            6 Sqrt[3] bb1 bb2 Sin[2 \[Gamma]] + 
            6 Sqrt[3] bb1 bb3 Sin[2 \[Gamma]] + 
            8 Sqrt[3] bb2 bb3 Sin[2 \[Gamma]] + 
            Sqrt[3] bb1^2 Sin[4 \[Gamma]] + 
            3 Sqrt[3] bb1 bb3 Sin[4 \[Gamma]] + 
            2 Sqrt[3]
              bb2 bb3 Sin[
              4 \[Gamma]])) Tan[\[Alpha]] + \[Omega]y (5 Sqrt[3]
           bb1^2 + 7 Sqrt[3] bb1 bb2 + 4 Sqrt[3] bb1 bb3 + 
         2 Sqrt[3] bb2 bb3 + 
         2 Sqrt[3] (3 bb1^2 + 4 bb2 bb3 + 4 bb1 (bb2 + bb3)) Cos[
           2 \[Gamma]] + 
         Sqrt[3] (bb1^2 + 3 bb1 bb3 + 2 bb2 bb3) Cos[4 \[Gamma]] + 
         6 bb1^2 Sin[2 \[Gamma]] + 12 bb1 bb2 Sin[2 \[Gamma]] + 
         3 bb1^2 Sin[4 \[Gamma]] + 6 bb1 bb2 Sin[4 \[Gamma]] + 
         3 bb1 bb3 Sin[4 \[Gamma]] + 
         6 bb2 bb3 Sin[4 \[Gamma]]) Tan[\[Beta]] - 
      Sec[\[Alpha]] (\[Omega]x Cos[\[Alpha]] Cos[\[Beta]] + \[Omega]y \
Sin[\[Alpha]] Sin[\[Beta]]) (3 bb1^2 + 3 bb1 bb2 + 6 bb1 bb3 + 
         6 bb2 bb3 - 6 bb1 (bb2 - bb3) Cos[2 \[Gamma]] - 
         3 (bb1 + 2 bb2) (bb1 + bb3) Cos[4 \[Gamma]] + 
         4 Sqrt[3] bb1^2 Sin[2 \[Gamma]] + 
         6 Sqrt[3] bb1 bb2 Sin[2 \[Gamma]] + 
         6 Sqrt[3] bb1 bb3 Sin[2 \[Gamma]] + 
         8 Sqrt[3] bb2 bb3 Sin[2 \[Gamma]] + 
         Sqrt[3] bb1^2 Sin[4 \[Gamma]] + 
         3 Sqrt[3] bb1 bb3 Sin[4 \[Gamma]] + 
         2 Sqrt[3] bb2 bb3 Sin[4 \[Gamma]]) Tan[\[Beta]]))/(4 (bb1 + 
      bb2 + bb3) (Sqrt[3] + Tan[\[Gamma]]) (3 + 
      Sqrt[3] Tan[\[Gamma]]))]