Question:medium

If \(a > 0, \, b > 0, \, c > 0\) and \(a, b, c\) are distinct, then \((a + b)(b + c)(c + a)\) is greater than

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In competitive exams, if you see products like \((a+b)(b+c)(c+a)\) with positive numbers, the AM-GM inequality is usually the first tool to use. If the numbers are not specified as distinct, the answer might be \(\geq 8abc\).

Updated On: Apr 19, 2026

\(2(a + b + c)\)
\(3(a + b + c)\)
\(6 abc\)
\(8 abc\)

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The Correct Option is D

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If \(a > 0, \, b > 0, \, c > 0\) and \(a, b, c\) are distinct, then \((a + b)(b + c)(c + a)\) is greater than

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The Correct Option is D

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