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Math Help - Factorisation

  1. #1
    Member helloying's Avatar
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    Factorisation

    9at˛ - 2b + 18bt˛ - a

    factorise it.
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  2. #2
    Moo
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    Quote Originally Posted by helloying View Post
    9at˛ - 2b + 18bt˛ - a

    factorise it.
    Group the parts containing t :
    =(9at^2+18bt^2)-(a+2b)

    factor the left part :
    =9t^2 (a+2b)-(a+2b)

    =(a+2b)(9t^2-1)

    use the difference of two squares, because 9t^2=(3t)^2 :
    =(a+2b)(3t-1)(3t+1)
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