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Math Help - Grouping polynomials to show a common factor

  1. #1
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    Grouping polynomials to show a common factor

    y^3 + y^2 - 3y - 3

    I've just gotten transferred to this alien math class in my new school. I just need someone to help me factor this equation so I can get a feeling of what I should do.

    So far I've gotten as far as: y(y^2+y-3)-3
    I don't think I'm going the right direction, but if I am, what next? Please help ;_;
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  2. #2
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    Quote Originally Posted by PandaPanda View Post
    y^3 + y^2 - 3y - 3

    I've just gotten transferred to this alien math class in my new school. I just need someone to help me factor this equation so I can get a feeling of what I should do.

    So far I've gotten as far as: y(y^2+y-3)-3
    I don't think I'm going the right direction, but if I am, what next? Please help ;_;
    y^3 + y^2 - 3y - 3 = y^2(y+1) - 3(y+1) = (y+1)(y^2 - 3)
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  3. #3
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    Thanks so much, that was very helpful.
    I just need help with one more problem on making something a perfect square trinomial to factor a difference of squares.

    a^4 + 4b^4

    I don't know the first step.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by PandaPanda View Post
    Thanks so much, that was very helpful.
    I just need help with one more problem on making something a perfect square trinomial to factor a difference of squares.

    a^4 + 4b^4

    I don't know the first step.
    you don't have a difference of squares here. and should that 4 be in front of the b?
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  5. #5
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    Quote Originally Posted by PandaPanda View Post
    Thanks so much, that was very helpful.
    I just need help with one more problem on making something a perfect square trinomial to factor a difference of squares.

    a^4 + 4b^4

    I don't know the first step.
    a^4 + 4b^4 = (a^2)^2 + (2b^2)^2
    Add and subtract,
    (a^2)^2 + 2(a^2)(2b^2)+(2b^2)^2 - 2(a^2)(2b^2)
    (a^2+2b^2)^2 - (2ab)^2 = (a^2 + 2b^2 + 2ab)(a^2+2b^2 - 2ab)
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