What is the identity of a3 + b3 + c3 in math?

[phymatter]

Homework Statement

what is the identity of a³ + b³ + c³
i am getting a bit confused please help!

Homework Equations

The Attempt at a Solution

 

[Mark44]

Homework Statement

what is the identity of a³ + b³ + c³
i am getting a bit confused please help!

I don't know what you are asking. An identity is an equation that is always true. What you have isn't an equation, so can't be an identity.

If you are asking is there some identity that involves the sum of three cubes, I don't recall seeing one like that.

 

[gb7nash]

Are a, b, and c arbitrary integers?

 

[Ivan92]

First off, what you wrote out is no identity or an equation, this is an expression. Secondly, if it were to be like this:

a³+b³=c³It would still be impossible if a, b, and c were 3 positive integers based on Fermat's Last Theorem.