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C3 Differentiation Simplifying expressions help Watch

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    I get how to use the different rules however I'm not sure what the heck is going on when I need to factorise my expression. For example:

    4x2(2x+1)50 + 2x(2x+1)51

    It apparently simplifies to:

    x(2x+1)50(4x+1)

    HOW?!

    (See attachment for better layout of questions)

    Please help me
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    (Original post by lucaT)
    I get how to use the different rules however I'm not sure what the heck is going on when I need to factorise my expression. For example:

    4x2(2x+1)50 + 2x(2x+1)51

    It apparently simplifies to:

    x(2x+1)50(4x+1)

    HOW?!

    (See attachment for better layout of questions)

    Please help me
    Think back to when you first learnt how to factorise:

    4x^2(2x+1)^{50} + 2x(2x+1)^{51}

    What are the common factors of each of the two terms? You can take these "outside the bracket".


    If you're still unsure, try factorising this

    4x^2y^{50} + 2xy^{51}

    then realise that y=(2x+1). Please post all your working if you get stuck.
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    (Original post by Notnek)
    Think back to when you first learnt how to factorise:

    4x^2(2x+1)^{50} + 2x(2x+1)^{51}

    What are the common factors of each of the two terms? You can take these "outside the bracket".


    If you're still unsure, try factorising this

    4x^2y^{50} + 2xy^{51}

    then realise that y=(2x+1). Please post all your working if you get stuck.
    I do believe there's a mistake. I think should be 2x(4x+1)(2x+1)^{50}
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    (Original post by Desmos)
    I do believe there's a mistake. I think should be 2x(4x+1)(2x+1)^{50}
    Oops I didn't notice the mistake. This could be why the OP is confused.

    Thanks
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    (Original post by Notnek)
    Think back to when you first learnt how to factorise:

    4x^2(2x+1)^{50} + 2x(2x+1)^{51}

    What are the common factors of each of the two terms? You can take these "outside the bracket".


    If you're still unsure, try factorising this

    4x^2y^{50} + 2xy^{51}

    then realise that y=(2x+1). Please post all your working if you get stuck.
    Thank you, I'm using 4x^2y^{50} + 2xy^{51} if I get too stuck now
 
 
 
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