Question

Last post for today:

This is translated but I'm not really sure what it means.
-Break out of −28x^2−21x^3 as much as possible.
-Break out the largest possible factor from x^2−2x.
-Break out and shorten 36x + 8x^3 over 12x

What does 'break out' mean? Is there an example video that I can find to explain this better? The linked videos don't really have much on this or I'm missing something in translation.

Answers

not a mathematical term as far as I know
Does your text use that?
Does your teacher casually refer to this while simplifying?

Looking at the questions, I might guess they mean factor and simplify
e.g. your last one:
Break out and shorten 36x + 8x^3 over 12x
(36x + 8x^3)/(12x)
= 4x(9 + 2x^2)/(12x)
= (9 + 2x^2)/3 , x ≠ 0

1st:
−28x^2−21x^3
= -7x^2(4 + 3x)

2nd: easy now, right?

Well in Swedish it's

'Bryt ut så mycket som möjligt ur −28x^2−21x^3' for example.

I shall complete the last one too, I think I get it though!
I assume the last one would be x(x-2) btw then if it's just factoring and simplifing!
Ahhh, I understand, you used a translator

Make yourself a list of common mathematical terms for both English and Swedish
e.g.
English - Swedish
solve - lösa
simplify - förenkla
equation - ekvation
et cetera

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