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Math Help - Just started doing maths again last week, stuck on factorising problem

  1. #1
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    Just started doing maths again last week, stuck on factorising problem

    Factorise x + 2x + 1 - y

    After trying this for ages, I looked at the answer and its
    (x + 1 - y)(x + 1 + y)
    but I still can't get to that point by myself, can anyone help please
    Thanks
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    South Coast of England
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    Hello OllieRowntree

    Welcome to Math Help Forum!
    Quote Originally Posted by OllieRowntree View Post
    Factorise x + 2x + 1 - y

    After trying this for ages, I looked at the answer and its
    (x + 1 - y)(x + 1 + y)
    but I still can't get to that point by myself, can anyone help please
    Thanks
    Two facts that you need to learn:

    • x^2+2x+1 = (x+1)^2


    • a^2-b^2 = (a+b)(a-b)

    If you know these, you can use them very easily to solve your problem:

    x^2+2x+1-y^2 = (x+1)^2-y^2

    Can you now apply the second of the two facts to finish the job?

    Grandad
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