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Math Help - [SOLVED] Here I am stuck again this time on factoring

  1. #1
    Newbie onymousillusion's Avatar
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    Exclamation [SOLVED] Here I am stuck again this time on factoring

    (a+b)^2 - 100

    -> (a+b)(a+b)-100
    -> a^2+2ab+b-100
    -> a(a+2b)(b^2-100)
    -> a(a+2b)(b -10)(b+10)



    The answer in the book (a+b-10)(a+b+10)

    And I have not a clue on how they got this ? any help would be appreciated
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  2. #2
    Master Of Puppets
    pickslides's Avatar
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    The difference of 2 squares says

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

    Quote Originally Posted by onymousillusion View Post
    (a+b)^2 - 100
    (a+b)^2 - 100

    (a+b)^2 - 10^2

    (a+b-10)(a+b+10)
    Last edited by pickslides; March 24th 2010 at 08:18 PM. Reason: bad latex
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  3. #3
    Newbie onymousillusion's Avatar
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    Thank you... I see it now...
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