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Problems Algebra and arithmetic Algebraic equations and systems of equations Binomial theorem Higher order equations. Palindromic polynomial equations Equations of higher order (other)

12–14 2.0

Prove the validity of the following formula of Newton’s binom $(x + y)^{n} = (\binom{n}{0}) x^{n} + (\binom{n}{1}) x^{n - 1} y + \dots + (\binom{n}{n}) y^{n} .$