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June 23rd, 2017, 06:42 PM   #1
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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.
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June 23rd, 2017, 06:59 PM   #2
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Yeah, it's the right solution Why do you have doubts about it?
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June 23rd, 2017, 07:05 PM   #3
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123quwerty thanks alot for the attention
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June 24th, 2017, 07:24 AM   #4
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Step 1 was incorrect notation.

When you are considering compound entities such as (A+B) or (A-B) always put them in brackets to start with.


So step1 should be

(A+B) - (A-B)

People often get their algebra muddled and wrong if they do not do this.
Thanks from EvanJ and Jeff Guercio

Last edited by skipjack; June 24th, 2017 at 01:19 PM.
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