Question
If a>0, b>0, c>0 and a, b, c are distinct, then (a+b) (b+c)(c+a) is greater than
BITSAT
Mathematics
Sequences and Series
2020
BITSAT 2020
BITSAT Mathematics Question (2020) — Solution
Options
- A. 2(a+b+c)
- B. 3(a+b+c)
- C. 6 abc
- D. 8 abc
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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