How to factorize a polynomial involving cyclic and homogeneous terms?

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Homework Help Overview

The discussion revolves around the factorization of the polynomial expression (a-b)³ + (a+b)³, which involves cyclic and homogeneous terms. Participants are seeking clarity on the factorization process and the underlying concepts.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to factor the expression and are discussing the relevance of cyclic and homogeneous polynomials. Some suggest expanding the terms before attempting to factor them.

Discussion Status

The discussion is ongoing, with participants seeking explanations and clarification on the factorization process. There is a mix of attempts to understand the problem and requests for further explanation.

Contextual Notes

Some participants express confusion about the type of explanation needed, indicating a potential lack of clarity in the problem setup or assumptions regarding prior knowledge.

takercena
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1. Factorize (a-b)^3 + (a+b)^3

2. Attempt of solution are involving cyclic or/and homogeneous polynomials

I want to understand this clearly, can anyone explain this? The answer is 2a(a^2+3b^2)
 
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takercena said:
1. Factorize (a-b)^3 + (a+b)^3

[I want to understand this clearly, can anyone explain this? The answer is 2a(a^2+3b^2)

Try expanding (a+b)^3 and (a-b)^3 and the simplifying, then factorizing.
 
What kind of explanation are you asking for?
 
Defennder said:
What kind of explanation are you asking for?
Oh, nevermind, and thanks
 

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