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In the usual set notation,
$$ A \cup ( B \cap C) = $$
$$Â (A \cup B)Â \cup( A\cup C) = $$
$$ (A \cap B)Â \cup( A\cap C) = $$
$$ (A \cup B)Â \cap( A\cup C) = $$
$$ (A \cup B)Â \cap( A\cap C) = $$
$$ A \cup ( B \cap C) = $$ will be always equal to $$ (A \cup B) \cap( A\cup C) = $$
Hence, option C is the correct answer.
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