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# IGCSE maths factorising question help Watch

1. Hi,
Could someone help with this and explain each step? :

Thanks
2. (Original post by SuchBants)
Hi,
Could someone help with this and explain each step? :

Thanks
Hope that the attached document is enough explanation
Attached Images
3. Scan0020.pdf (86.6 KB, 52 views)
4. (Original post by maggiehodgson)
Hope that the attached document is enough explanation
I get the common factor but where does the plus 1 come from.
5. (X-1)(3x-2) = 3x^2 - 2x - 3x + 2
= 3x^2 - 5x + 2

Expand the second bracket with the all elements (?) of the first bracket seperately. What you basically do when expanding this is x (3x-2) and -1 (3x-2) and then add the products of these together.

I'm not good at explaining this but if you had another problem like (x^2-3x-2)(x-2), you would multiply x^2 (x-2) then -3x (x-2) & -2 (×-2) and add all products together to get the simplest form.

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6. (Original post by SuchBants)
I get the common factor but where does the plus 1 come from.
The second term is (x-1) but this is really (x-1)times by 1

if you were to factorise 3x^2 + x it would be x(3x + 1) because x is x times 1.

Does that help?
7. (Original post by I'm_infires)
(X-1)(3x-2) = 3x^2 - 2x - 3x + 2
= 3x^2 - 5x + 2

Expand the second bracket with the all elements (?) of the first bracket seperately. What you basically do when expanding this is x (3x-2) and -1 (3x-2) and then add the products of these together.

I'm not good at explaining this but if you had another problem like (x^2-3x-2)(x-2), you would multiply x^2 (x-2) then -3x (x-2) & -2 (×-2) and add all products together to get the simplest form.

Posted from TSR Mobile
You seem to be explaining how to expand two brackets.

But that's not what the OP asked.
8. 1) factorise out (x-1):
(x-1)[3(x-1) + 1]

2) expand 2nd bracket
(x-1)(3x-3+1) = (x - 1)(3x - 2)
9. (Original post by notnek)
You seem to be explaining how to expand two brackets.

But that's not what the OP asked.
Yeah, I realised later on. It was because I couldn't see the maths question that the OP put a picture of so I thought that the pdf was the OP uploading the pic again or something but that was someone else :P

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