Which terms should be grouped together for factorization?

AI Thread Summary
The discussion focuses on the expression r^2 - xyr + (r^2)s + (x)r^2 - (y)r^2 + rsy and the challenges of factorization. Participants suggest starting by grouping terms that share the variable r. However, it is noted that the expression does not lend itself to straightforward factorization. Ultimately, while some terms can be grouped and factored out, the overall factorization remains complex and incomplete. The consensus is that a simple factorization solution is not achievable for this expression.
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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