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Devil208 10.11.21 07:20 pm

A question for great mathematicians

This is such a simple task that I myself would have taken one number out of the bracket, but I cannot bear it, because I can be mistaken
Spoilerbecause you cannot be stupid to be mistaken.
In general, here's an example: x ^ 2 (x ^ 2 + 2x-3) +1. In this example, I need to place the number 3 outside the brackets. Any schoolchild in grades 8-9 will be able to do this. Please tell me how to put this number 3 outside the brackets?
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UPD: 4x ^ 3 + 2x-11. You need to take out x ^ 2 outside the brackets. If I take out x ^ 2, then what do I do with 2x? Or is it not possible at all?
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Sergey Vinnik 10.11.21

Is it okay?
1 + x ^ 2 (x * (2 + x) -3)

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Devil208 10.11.21

Sergey Vinnik
No, I didn't need it that way, but now it's a different condition. I finally figured out how to solve the example and I need help with this example: 4x ^ 3 + 2x-11. You need to take out x ^ 2 outside the brackets. If I take out x ^ 2, then what do I do with 2x? Or is it not possible at all?

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Sergey Vinnik 10.11.21

Devil208
Math is a hard thing ...
SpoilerIt was said at school that you can't divide by zero. Did they say in college that you can
do it?
x ^ 2 (4x + 2 / x-11 / x ^ 2)

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Devil208 10.11.21

Sergey Vinnik
It is possible, only at such a pace can you endlessly share :)

It's okay, thanks. And you can just leave 11 out of parentheses, right? This is how it was: x ^ 2 (4x + 2 / x) -11. So it is possible?

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Axeleratortt 10.11.21

Devil208
Sergey Vinnik
With this approach, you must immediately sign that x! = 0 (x cannot equal 0)

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Sergey Vinnik 10.11.21

Axeleratortt
Well, here we are not trying to find out what is x
Devil208
You can

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Devil208 10.11.21

Sergey Vinnik
Thank you, now everything is clear to me, I can move on, hurray :)