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# Help - maths question

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1. How would you simplify this using long division:

(x^3-8)/(3x^2-8x+4)
2. (Original post by ColeNate)
How would you simplify this using long division:

(x^3-8)/(3x^2-8x+4)
Factor top and bottom - there's a common factor sitting in there, get rid of that first.
3. (Original post by Gregorius)
Factor top and bottom - there's a common factor sitting in there, get rid of that first.
Yeah that's what they have in the mark scheme - it's a C3 Solomon question.
I was wondering if it's possible to do straight away with long division if I wasn't able to spot the factor?
4. (Original post by ColeNate)
I was wondering if it's possible to do straight away with long division if I wasn't able to spot the factor?
Well, yes. But it's harder work!
5. (Original post by Gregorius)
Well, yes. But it's harder work!
Ah, I must be doing my long division method wrong - it's not coming out the same!
6. (Original post by ColeNate)
Ah, I must be doing my long division method wrong - it's not coming out the same!
wadr to Gregorius, I don't think long division is going to do any good - unless I missed something.

Simplify usually means cancel any common factors in this context.

You could notice that the numerator is a difference of two cubes, which you should be familiar with. Hence (x-2) is a factor of the top. And if you plug in "2" into the denominator you get zero there, so (x-2) is also a factor there.

PS: A more informative thread title would have been useful, together with a label of what level this is.
7. (Original post by ghostwalker)
wadr to Gregorius, I don't think long division is going to do any good - unless I missed something.

A more informative thread title would have been useful, together with a label of what level this is.
Yes, agree with you; I was just crunching on autopilot.

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