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```
if a,b,c are positive ,then show that (a+b)(b +c)(c+a)&gt;=8abc

```
8 years ago

Aman Bansal
592 Points
```							Dear Ayushi,
by the principle of arithmeticmean>=geometricmean(a+b)/2 >= (ab)^(0.5)------1(c+b)/2 >= (cb)^(0.5)--------2(a+c)/2 >= (ac)^(0.5)-----------3as all abc are positive so by multiplying all the three we get(a+b)(b+c)(c+a)/8 >= (abbcca)^(0.5)(a+b)(b+c)(c+a)/8 >= abc(a+b)(b+c)(c+a) >= 8abc
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```
8 years ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions