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Simplify the following expressions. Where applicable, indicate any restrictions on the variables.

1. \(5\sqrt 3 \left( {\sqrt 6 - 3} \right)\)
   
   
   
   
2. \(\left( {8\sqrt {3v^3 } + 12} \right)\left( {5\sqrt {3v^3 } - 3} \right)\)
   
   
   
   
3. \(\left( {3\sqrt 5 - 1} \right)\left( {3\sqrt 5 + 1} \right)\)