Expanding and simplifying brackets

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Homework Help Overview

The discussion revolves around expanding and simplifying algebraic expressions involving brackets. Participants are examining their calculations and comparing them to provided answers from a textbook.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are sharing their methods of expanding and simplifying expressions and questioning the accuracy of their results against textbook answers. There is a focus on verifying the correctness of the problems as stated.

Discussion Status

Some participants have received confirmation that their calculations are correct based on the problems they presented. However, there is an ongoing exploration of potential misprints in the textbook answers, indicating a lack of consensus on the correctness of the provided solutions.

Contextual Notes

Participants are considering the possibility of misprints in their textbooks, which may affect their understanding of the problems. There is an emphasis on ensuring that the problems are copied correctly from the source material.

Gringo123
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Could someone please expain where I went wrong with this?

expand and simplify the following:
1/8(6x - 12y) + 1/2(3x + 2y)

I expanded the brackets like this:
0.75x - 1.5y + 1.5x + y

and simplified like this:
2.25x - 0.5y

But the right answer is: 2.25x - 2.5y
 
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Your answer is correct for the problem you showed. Are you sure you copied the problem correctly? If so, the "right" answer is wrong.
 
Thanks Mark.
There must have been a misprint on the answer page of my book.
I have the same problem with this one.

1/5(15x + 10y) + 3/10(5x - 5y)

My answer is: 4.5x + 0.5y

The book says it should be: 4.5x -0.5y

Have I made a mistake or is the book wrong again?
Thanks once again for your help.
 
Assuming you have written the problem as it appears in the book, your answer is correct.
 

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