Simplify Expression: f(x) 1/x^2 -4, x+1 - x^2/x+2

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The discussion centers around simplifying the expression f(x) = x+1 - x^2/(x+2) and 1/x^2 - 4, with participants clarifying the intended format due to confusion caused by punctuation. One user initially misinterprets the expression due to a misplaced comma, leading to uncertainty about the correct simplification. Suggestions are made to rewrite the expression clearly using brackets to avoid ambiguity. Participants discuss options for sharing a visual representation of the problem for better understanding. The conversation emphasizes the importance of clear notation in mathematical expressions.
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Homework Statement



simplify the expression: f(x) = x+1 - x^2/x+2,
1/x^2 -4

Homework Equations


leaving the answer as a quadratic polynomial.

1. = 3x^2 + 4x + 4
2. = x^2-4x + 4
3. x^2 -4x - 4
4. 3x^2 +4x - 4
5. x^2 +4x - 4
6. 3x^2 -4x -4

The Attempt at a Solution


I got 6 but I think that is wrong. The comma is confusing me. Please help.

Homework Statement


Homework Equations


The Attempt at a Solution

 
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slywolf1992 said:

Homework Statement



simplify the expression: f(x) = x+1 - x^2/x+2,
1/x^2 -4

Homework Equations


leaving the answer as a quadratic polynomial.

1. = 3x^2 + 4x + 4
2. = x^2-4x + 4
3. x^2 -4x - 4
4. 3x^2 +4x - 4
5. x^2 +4x - 4
6. 3x^2 -4x -4

The Attempt at a Solution


I got 6 but I think that is wrong. The comma is confusing me. Please help.

As written, your first expression means
x+1-\frac{x^2}{x}+2 = x+1-x+2 = 3.
Did you actually mean
x+1 - \frac{x^2}{x+2} \text{ or } \frac{x+1-x^2}{x+2}\,?
If you mean the first, write it as x+1 - x^2/(x+2) [note the bracket!]; if you mean the second, write it as (x + 1 - x^2)/(x+2) [Note both brackets.]

RGV
 


I mean the first one.
 


slywolf1992 said:
I mean the first one.

OK, so re-writing what you wrote we now have x+1 - x^2/(x+2), 1/x^2-4. Does this mean two separate expressions (namely, x+1 - x^2/(x+2) and either (1/x^2) - 4 or 1/(x^2-4)), or does ...,1/x^2-4 stand for something else that I cannot figure out?

RGV
 


That's what is bothering me. The comma makes no sense. Do you mind telling me your email so I can just email the picture I snapped of the problem? It might make more sense to see it as is. If not, do you know how I can link a photo to the forum post?
 


There's an insert image button just underneath the smiley in your reply options. I think you'll need to upload the image onto the net though, using imageshack or some other site.
 


You can also upload an image to PF and "attach" it to your post, provided it meets certain size restrictions. Use the "Manage Attachments" button below the message-entry pane. You'll see the size restrictions then.
 
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