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Prove the following identity on languages A, B, C: A(B ∪ C) = AB ∪ AC...

  1. Prove the following identity on languages A, B, C: A(B ∪ C) = AB ∪ AC

  2. Find a counterexample to the following identity on languages A, B: A* ∩ B* = (A∩B)*

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