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How does (a-b)^2 become (a+b)^2 - 4ab?

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AndyCharles
 
Reply Fri 28 Oct, 2011 07:35 am
Hello,
How does (a-b)^2 become (a+b)^2 - 4ab?
Please explain step by step

Thanks.
Andy Charles

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Type: Question • Score: 0 • Views: 3,641 • Replies: 5

 
hingehead
 
  1  
Reply Fri 28 Oct, 2011 08:27 am
@AndyCharles,
it doesn't

It becomes a^2 +b^2 - 2ab
markr
 
  3  
Reply Fri 28 Oct, 2011 08:42 am
@hingehead,
Actually, it does.
fresco
 
  1  
Reply Fri 28 Oct, 2011 10:10 am
@AndyCharles,
Expand (a+b)^2 and subtract 4ab. The answer is the expansion of (a-b)^2.
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hingehead
 
  2  
Reply Fri 28 Oct, 2011 02:04 pm
@markr,
True? It must have been late when I answered - when I did the working and it didn't come out right. Too much red wine.
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raprap
 
  1  
Reply Sun 30 Oct, 2011 03:48 am
@AndyCharles,
(a+b)^2-4ab= a^2+2ab+b^2-4ab=a^2-2ab+b^2=(a-b)^2
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