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IMAS 2014–2015 — Junior — Round 2 Question 1

IMAS · IMAS 2014–2015 — Junior — Round 2

Question 1

Which of the following expressions is equal to $(a+1)(b-1)+(b+1)(c-1)+(c+1)(a-1)$?
  1. $ab+bc+ca-3$
  2. $ab+bc+ca$
  3. $ab+bc+ca+2a+2b+2c+3$
  4. $ab+bc+ca-2a-2b-2c-3$
  5. $ab+bc+ca-2a-2b-2c+3$