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Math Help - please help me with this problem in Algebra

  1. #1
    Newbie planolerachel's Avatar
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    please help me with this problem in Algebra

    I can not grasp this area.. We are to factor by grouping and this problem states factor completely.. my textbook isn't much help at all. Can someone please help?


    4a^2b-4a^2-4ab-4a
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  2. #2
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    mr fantastic's Avatar
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    Quote Originally Posted by planolerachel View Post
    I can not grasp this area.. We are to factor by grouping and this problem states factor completely.. my textbook isn't much help at all. Can someone please help?


    4a^2b-4a^2-4ab-4a
    Please re-check - there might be a typo. Could it be one of the following:

    4a^2b + 4a^2 - 4ab - 4a

    4a^2b - 4a^2 - 4ab + 4a

    4a^2b - 4a^2 + 4ab - 4a
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  3. #3
    Newbie planolerachel's Avatar
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    algebra problem

    Sorry about that I did indeed type that incorrectlly..

    4a^2b-4a^2-4ab+4a
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  4. #4
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    Quote Originally Posted by planolerachel View Post
    Sorry about that I did indeed type that incorrectlly..

    4a^2b-4a^2-4ab+4a
    = (4a^2b - 4a^2) - (4ab - 4a)

    = 4a^2 (b - 1) - 4a (b - 1)

    = (b - 1) (4a^2 - 4a)

    = (b - 1) 4a (a - 1)

    = 4a (b - 1) (a - 1).


    Alternatively:

    4a^2b-4a^2-4ab+4a

    = 4a(ab - a - b + 1)

    = 4a (a[b - 1] - [b - 1])

    = 4a (a[b - 1] - 1[b - 1])

    = 4a (a - 1)(b - 1).
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  5. #5
    Newbie planolerachel's Avatar
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    Smile thank you

    I appreciate your help
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