Prove if true or give a counter example if false: For all sets A,B and C , A * (B U C) = (A* B) U (A* C)?

Prove if true or give a counter example if false: For all sets A,B and C , A * (B U C) = (A* B) U (A* C)


Prove if true or give a counter example if false:





For all sets A,B and C , A * (B U C) = (A* B) U (A* C):





Note: * means "times or multiply"

Prove if true or give a counter example if false: For all sets A,B and C , A * (B U C) = (A* B) U (A* C)?
How do you multiply sets? Do you perhaps mean intersection?