# An algebra question for RMO or Pre-RMO

Question:

If a, b, c are non-negative real numbers such that $(1+a)(1+b)(1+c)=8$, then prove that the product abc cannot exceed 1.

Solution will be posted after you attempt it…so that you can compare the two approaches.

Nalin Pithwa.

This site uses Akismet to reduce spam. Learn how your comment data is processed.