Which terms should be grouped together for factorization?

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SUMMARY

The discussion focuses on the factorization of the polynomial expression r^2 - xyr + (r^2)s + (x)r^2 - (y)r^2 + rsy. Participants agree that the initial step involves grouping terms that share the common variable r. However, they conclude that the expression does not lend itself to straightforward factorization, as grouping leads to limited simplification without further progress.

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Johnny Leong
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r^2 - xyr + (r^2)s + (x)r^2 - (y)r^2 + rsy

Which terms should be grouped together for factorization? Please give some comments.
 
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First they all have r, start from there, the group those with similar variables.
 
I found that this question cannot be factorized as a very simple answer. If really do factorization, only group several terms together, factorize something out but then cannot proceed.
 

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