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Let a,b and c be nonzero real numbers such that 1a+1b+1c=0. Compute bca2+acb2+abc2.

 Mar 1, 2020
 #1
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To be honest, I would just plug in values.

Let a = 2, b = 2, and c = -1.

Then simply solve.

 Mar 1, 2020
 #2
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Systematic way as follows:

 

 

(However, CoolStuffYT's way works as well!)

 Mar 1, 2020
edited by Alan  Mar 1, 2020
 #3
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Thanks Alan,

I was wondering how to do that one formally.

 

Thanks Coolstuff too :)

Melody  Mar 1, 2020

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