A Symmetric Product on the Sphere

★ 7/10Extrema Substitution algebra AM-GM inequality

Problem

Real numbers $a, b, c$ satisfy $a^2 + b^2 + c^2 = 1$ . Find the maximum and minimum of

M = a^2bc + ab^2c + abc^2.

Answer

Solution

Difficulty	7/10
Topics	Extrema, Substitution, algebra, AM-GM, inequality

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.