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BITSAT2020MathematicsSequences and SeriesActual

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

Options

  1. A2(a+b+c)
  2. B3(a+b+c)
  3. C6 abc
  4. D8 abc

Correct answer

D. 8 abc

Step-by-step solution

AM > GM a + b 2 > ab , b + c 2 > bc , c + a 2 > ca So, (a+b)(b+c)(c+a)>8 a b c

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