lean_workbook_plus_17585

Proved

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

Factorization identity: $(a + b + c)(a^2 + b^2 + c^2 - ab - bc - ac) = a^3 + b^3 + c^3 - 3abc$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17585 (a b c : ℝ) : (a + b + c) * (a^2 + b^2 + c^2 - a * b - b * c - a * c) = a^3 + b^3 + c^3 - 3 * a * b * c   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph