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June 23rd, 2017, 06:42 PM  #1 
Newbie Joined: Jun 2017 From: America Posts: 2 Thanks: 0  A possible algebra's law violation
Hello guys.... I'm new here and I hope to make friends here, learn and share my knowledge. Well, my first one is going to be two literal compound quantities that must be subtracted: From the binomial A + B subtract A  B. This proposed problem is very easy solution, so that I'll do it and according to algebraic rules: A + B sub A  B  step 1. A + B  A  B step 2. A + B  (A  B) step 3. A + B  A + B step 4. A  A + B + B final step. 2B Is the final step the right solution? Did I calculate it wrong? Is there really any violation? Please guys answer me. I'll be very thankful. Thanks a lot for the attention. Last edited by skipjack; June 24th, 2017 at 05:31 AM. 
June 23rd, 2017, 06:59 PM  #2 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 849 Thanks: 307 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics 
Yeah, it's the right solution Why do you have doubts about it?

June 23rd, 2017, 07:05 PM  #3 
Newbie Joined: Jun 2017 From: America Posts: 2 Thanks: 0  123quwerty thanks alot for the attention 
June 24th, 2017, 07:24 AM  #4 
Senior Member Joined: Jun 2015 From: England Posts: 628 Thanks: 173 
Step 1 was incorrect notation. When you are considering compound entities such as (A+B) or (AB) always put them in brackets to start with. So step1 should be (A+B)  (AB) People often get their algebra muddled and wrong if they do not do this. Last edited by skipjack; June 24th, 2017 at 01:19 PM. 

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