Solving Mistake in my Book: (b-a)^2/12

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Homework Help Overview

The discussion revolves around a mathematical expression involving the simplification of a fraction related to the difference of squares, specifically focusing on the term \((b-a)^2/12\). Participants are examining an intermediate step in a solution manual that appears to introduce an unexplained multiplication by 2.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the origin of the multiplication by 2 in the intermediate step of the expression. There is a focus on whether this step is a typographical error or a misunderstanding of the notation used in the solution manual.

Discussion Status

Some participants express uncertainty about the correctness of the multiplication by 2, while others suggest it may be a typo. The conversation reflects a mix of interpretations regarding the presentation of the equations in the solution manual.

Contextual Notes

There is mention of a lack of published errata for the solution manual, which adds to the confusion regarding the validity of the intermediate step. Participants are navigating the implications of this potential mistake while deciding how to proceed with their understanding of the problem.

montoyas7940
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(1/3)(b^2+ab+a^2)-(1/4)(b^2+2ab+a^2)

= (b-a)^2
--------
12


I am ok with this but there is am intermediate step shown


(b^2-2ab+a^2)
-------------- (2)
12

I don't see where the multiplication by 2 comes from and it is not shown in the errata.
 
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montoyas7940 said:
(1/3)(b^2+ab+a^2)-(1/4)(b^2+2ab+a^2)

= (b-a)^2
--------
12


I am ok with this but there is am intermediate step shown


(b^2-2ab+a^2)
-------------- (2)
12

I don't see where the multiplication by 2 comes from and it is not shown in the errata.



You are right that there should be no multiplication by two there.

I am not sure how it exactly appears in your book, but does it appear like you typed it here, with the 2 between parentheses? I am asking because sometimes books number equations and often when equations are numbered, the number is put between parentheses.
 
:smile:
 
It is clearly a multiplication. It is a solution manual for a text and I can't find a published errata. I am just going to assume it is a mistake and move on. Thank you, kdv.
 
montoyas7940 said:
It is clearly a multiplication. It is a solution manual for a text and I can't find a published errata. I am just going to assume it is a mistake and move on. Thank you, kdv.

Ok. Then it is a typo.

You are welcome.
 

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