lean_workbook_plus_29281

Proved

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

If $a+b+c=0$ prove that $(\sum a^2)^3 -54a^2b^2c^2=2(a-b)^2(b-c)^2(c-a)^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_29281 (a b c : ℝ) (hab : a + b + c = 0) : (a^2 + b^2 + c^2)^3 - 54 * a^2 * b^2 * c^2 = 2 * (a - b)^2 * (b - c)^2 * (c - a)^2   :=  by sorry

Source

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

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