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    (Original post by Illidan2)
    Simplify them? (2x-3) (2x-3) (x-1) (x-1)
    Almost - check your signs.
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     (2x+3) (2x-3) (x-1) (x+1)

    Awesome! Thank you so much! About the  a^4  b thing though, it was a question in my textbook. I don't know if that means it'll come up in the exam, but it's in there.  2x^4+14x+24 that was my fault though, I didn't mean  b , I meant  bx

    Edit: Ignore this. I missed the  x^2 in the question.
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    (Original post by Illidan2)
     (2x+3) (2x-3) (x-1) (x+1)

    Awesome! Thank you so much! About the  a^4  b thing though, it was a question in my textbook. I don't know if that means it'll come up in the exam, but it's in there.  2x^4+14x+24 that was my fault though, I didn't mean  b , I meant  bx

    Edit: Ignore this. I missed the  x^2 in the question.
    You've got it

    You might already know this, but any expression of the form a^2x^2 - b^2 can be factorised as (ax + b)(ax - b); that's called "difference of two squares" and it's useful to look out for square numbers in questions involving factorising so that you can see when you need to do that.
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    I didn't know about the difference of two squares thing, so it's very helpful that I now have knowledge of the technique. Apart from substitution and difference of two squares, are there other techniques I will need in order to factorise any given problem? (To A-Level standard, at least.)
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    (Original post by Illidan2)
    I didn't know about the difference of two squares thing, so it's very helpful that I now have knowledge of the technique. Apart from substitution and difference of two squares, are there other techniques I will need in order to factorise any given problem? (To A-Level standard, at least.)
    First get your quadratic into the form ax^2+bx+c where b or c could be 0.

    Next always look for a common factor that is a number e.g.

    6x^2+24x+18 becomes much easier to factorise once you take out a factor of 6.

    Then if you have something of the form ax^2+bx+c where b and c are non-zero, you can factorise into two brackets using the method you've learnt.

    If you have something of the form ax^2+bx then take out a factor of x (or something like kx).

    If you have ax^2-c then consider difference of two squares.
 
 
 
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