lean_workbook_plus_21750

Proved

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

a,b,c be real numers,prove that: \n\n $2b^4+a^2(c+b)^2 \geq 2ab(ac+bc+b^2).$ \n\n

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_21750 (a b c : ℝ) : 2 * b ^ 4 + a ^ 2 * (c + b) ^ 2 ≥ 2 * a * b * (a * c + b * c + b ^ 2)   :=  by sorry

Source