SOLUTION: If a^3 b^3 c^3=3abc show that either a b c=0 or a=b=c

SOLUTION: If a^3 b^3 c^3=3abc show that either a b c=0 or a=b=c

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Question 443172: If a^3 b^3 c^3=3abc show that either a b c=0 or a=b=c
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!

Then we have abc = 0
or

-------------------
Suppose a = b = c
Then

Plug this back in for a=b=c
and you get

Check.
Then or

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