Question:Prove that: A AND (B OR C) = (A AND B) OR (A AND C)
Answer
| A | B | C | B OR C | A AND (B OR C) | A AND B | A AND C | (A AND B) OR (A AND C) |
|---|---|---|---|---|---|---|---|
| F | F | F | F | F | F | F | F |
| F | F | T | T | F | F | F | F |
| F | T | F | T | F | F | F | F |
| F | T | T | T | F | F | F | F |
| T | F | F | F | F | F | F | F |
| T | F | T | T | T | F | T | T |
| T | T | F | T | T | T | F | T |
| T | T | T | T | T | T | T | T |
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Prove that: A AND (B OR C) = (A AND B) OR (A AND C)