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Prove the following identity on sets of strings (languages) A, B, C: A(B ∪ C) =...

Prove the following identity on sets of strings (languages) A, B, C: A(B ∪ C) = AB ∪ AC, where A(B ∪ C) means A concatenated with (B ∪ C), AB means A concatenated with B, and AC means A concatenated with C.

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