Sum of cubes from sum and product

Proved

WorkbookSource.problem_27795

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

If $x+y=5$ and $xy=2$ then what is $x^3+y^3$ ?

Source: InternLM Lean-Workbook, record lean_workbook_27795 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble

import Mathlib
open Real

Formal statement

theorem WorkbookSource.problem_27795 (x y : ℝ) (h₁ : x + y = 5) (h₂ : x * y = 2) : x^3 + y^3 = 95  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_27795; Apache-2.0

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