Prove2Me

lean_workbook_plus_26681

Proved

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

Prove that 4b2c2−(b2+c2−a2)2=(a−b+c)(a+b−c)(b+c−a)(b+c+a)4b^2c^2 - (b^2 + c^2 - a^2)^2 = (a - b + c)(a + b - c)(b+c-a)(b+c+a).

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_26681 (a b c : ℝ) : 4 * b ^ 2 * c ^ 2 - (b ^ 2 + c ^ 2 - a ^ 2) ^ 2 = (a - b + c) * (a + b - c) * (b + c - a) * (b + c + a)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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