Prove2Me

lean_workbook_plus_78905

Proved

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

Factorization: x2−y2=(x+y)(x−y)x^2-y^2=(x+y)(x-y) x3−y3=(x−y)(x2+xy+y2)x^3-y^3=(x-y)(x^2+xy+y^2) x3+y3=(x+y)(x2−xy+y2)x^3+y^3=(x+y)(x^2-xy+y^2) Then can anyone tell me what is x4+y4x^4+y^4 And x5−y5x^5-y^5

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_78905 (x y : ℤ) : x^2 - y^2 = (x + y) * (x - y) ∧ x^3 - y^3 = (x - y) * (x^2 + x * y + y^2) ∧ x^3 + y^3 = (x + y) * (x^2 - x * y + y^2)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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