Question: Problem 2. Formally prove (from definitions) the following set equality, where A, B, C C U are arbi- trary sets: A x (BUC) = (A

Problem 2. Formally prove (from definitions) the following set equality, where A, B, C C U are arbi- trary sets: A x (BUC) = (A x B) U (A x C) Problem 3. Formally prove that for each n E N, (4i -3) = n(2n -1) i=1

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