My 1st problem

Algebra Level 2

Let a a , b b , and c c be three real numbers such that a + b + c = 0 a+b+c=0 and a b c = 8 abc=8 .

Find a 3 + b 3 + c 3 a^{ 3 } + b^{ 3 } +c^{ 3 } .

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1 solution

Him Jain
Jun 5, 2016

Simple if a + b + c = 0 a+b+c=0 then a 3 + b 3 + c 3 = 3 a b c a^3 +b^3 + c^3 = 3abc

It would be nice if u use LaTeX for your solution.

Samara Simha Reddy - 5 years ago

Good use of the identity, Him. I have edited the Latex in your solution so the equations look prettier.

Pranshu Gaba - 5 years ago

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