lean_workbook_plus_33883

Proved

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

If $a+b+c=0$ then $a^5+b^5+c^5=-5ab(a+b)(a^2+ab+b^2)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_33883 {a b c : ℤ} (h : a + b + c = 0) : a^5 + b^5 + c^5 = -5 * a * b * (a + b) * (a^2 + a * b + b^2)   :=  by sorry

Source