Algebra · Algebraic identities · Cube of a difference · Consecutive integers

Problem 3, 2019

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NationalEnter the answer

What is the value of the expression

\[ 2019^{3} - 3 \cdot 2019 \cdot 2018 - 2018^{3} \, ? \]

  1. A \(-1\)
  2. B \(0\)
  3. C \(1\)
  4. D \(2018\)
  5. E \(2019\)

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2019, 1. letnik, category A, problem A3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source