- #1
ashrafmod
show that
(a+b+c)^3=a^3+b^3+c^3
implies that
(a+b+c)^5=a^5+b^5+c^5
(a+b+c)^3=a^3+b^3+c^3
implies that
(a+b+c)^5=a^5+b^5+c^5
Proving (a+b+c)^3=a^3+b^3+c^3 Leads to (a+b+c)^5=a^5+b^5+c^5
- Thread starter ashrafmod
- Start date
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Homework Help Overview
The discussion revolves around proving the algebraic identity that states if \((a+b+c)^3 = a^3 + b^3 + c^3\), then it leads to \((a+b+c)^5 = a^5 + b^5 + c^5\). The subject area is algebra, specifically focusing on polynomial identities and their implications.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- Participants discuss numerical verification as a preliminary step, questioning whether this approach can serve as a valid proof. There is also a call for the original poster to share any attempts made towards the proof.
Discussion Status
The discussion is ongoing, with some participants suggesting numerical examples to illustrate the identities, while others emphasize the need for a formal proof. There is no explicit consensus on the approach to take yet.
Contextual Notes
Participants note that numerical verification does not constitute a proof, highlighting the need for a more rigorous approach. There is an implicit understanding that the original poster may need to clarify their attempts or reasoning further.
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