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    I don't understand this transition at all, any ideas??


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    (Original post by Abby5001)
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    I don't understand this transition at all, any ideas??


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    They have factorised it.
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    (Original post by 16Characters....)
    They have factorised it.
    I know it must be blindingly obvious to you but I can't really see it for some reason


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    (Original post by Abby5001)
    I know it must be blindingly obvious to you but I can't really see it for some reason


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    If we for the moment replace  1 + 3x with the letter u our expression is:

     15xu^4 + u^5 .

    Both terms have a common factor of u^4 (the first term has 15x lots of u^4, the last term has u lots) so we can bring this common factor out as:

    (15x + u)u^4

    Which when we replace u by 1 + 3x again is:

    (15x + 1 + 3x)(1 + 3x)^4

    Is that any clearer?

    This form of factorisation confused some members of my AS further maths class; the key thing is to recognise that you can treat the bracket as you would a single letter when factorising.
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    (Original post by 16Characters....)
    If we for the moment replace  1 + 3x with the letter u our expression is:

     15xu^4 + u^5 .

    Both terms have a common factor of u^4 (the first term has 15x lots of u^4, the last term has u lots) so we can bring this common factor out as:

    (15x + u)u^4

    Which when we replace u by 1 + 3x again is:

    (15x + 1 + 3x)(1 + 3x)^4

    Is that any clearer?

    This form of factorisation confused some members of my AS further maths class; the key thing is to recognise that you can treat the bracket as you would a single letter when factorising.
    That makes a lot more sense, Thankyou


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