lean_workbook_plus_31458

Disproved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that $a^3 + b^3 + c^3 \neq (a + b + c)(a^2 - b^2 - c^2)$ for any real numbers $a$ , $b$ , and $c$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_31458 : ∀ a b c : ℝ, a ^ 3 + b ^ 3 + c ^ 3 ≠ (a + b + c) * (a ^ 2 - b ^ 2 - c ^ 2)   :=  by sorry

Source