Prove2Me

lean_workbook_plus_370

Proved

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

Simple its just x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−yz−xz)x^3 + y^3 + z^3 - 3xyz = (x + y + z)(x^2 + y^2 + z^2 - xy - yz - xz)

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_370 {x y z : ℝ} : x ^ 3 + y ^ 3 + z ^ 3 - 3 * x * y * z = (x + y + z) * (x ^ 2 + y ^ 2 + z ^ 2 - x * y - y * z - x * z)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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