Is there an error in this proof?

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The discussion centers on a mathematical proof involving the expression (2k+1)^2-(2k+1)+3. A participant identifies an arithmetic error in the simplification process, specifically noting that 4k - 2k equals +2k, not -2k. This correction is crucial for ensuring the accuracy of the proof, although it does not affect the overall validity of the argument presented. The discussion emphasizes the importance of meticulous arithmetic in mathematical proofs.

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mr_coffee
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Hello everyone, i was reviewing for the exam and I was working through this proof and I don't see how:

(2k+1)^2-(2k+1) + 3 = 4k^2+4k+1-2k-1+3 = 2(2k^2-k+1)+1

http://suprfile.com/src/1/3q9w3ud/Untitled-1[/URL] copy.jpg[/PLAIN]


But it is late so i maybe not seeing somthing.
 
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If it is any help, there is an arithmetic error in the proof. Not that it makes any difference to the proof, but 4K-2K is +2K, not -2K.
 
ahh okay that's what i wanted to make sure!
thanks!
 

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