Prove the following inequality for all positive real numbers and : (a + b)(b + c)(c +…

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Prove the following inequality for all positive real numbers

a, b,

and

c

(a + b)(b + c)(c + a) \ge 8abc,

and state the condition under which equality holds.