Algebra · Polynomial identities · Substitution · Binomial expansion
Let \(x\) and \(y\) be real numbers satisfying \(y - x = 2\). Compute the value of the expression
\[ 2x^3 + y^3 - 3y^2x + 6x^2 . \]
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), odbirno (qualifying) round 2023, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source