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IMAS 2020–2021 Junior Division — First Round Question 15

IMAS · IMAS 2020–2021 Junior Division — First Round

Question 15

Given that $a$, $b$ and $c$ are positive integers, which among the following values may the expression $(a+b+c)(a+b-c)(a-b+c)(-a+b+c)$ take?
  1. $44$
  2. $46$
  3. $48$
  4. $50$
  5. $52$