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Math Help - need help finding tutorial for this problem

  1. #1
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    need help finding tutorial for this problem

    Hi guys and gals,
    I am reading schaums outline of precalculus 2nd ed. and I am having some issues solving a problem.

    Can someone point me to a tutorial that can help me factor equations like this:

    (x-2)^3-(x-2)^2

    They give you the answer of (x-2)^2(x-3) but I don't understand how they got there.
    Thank you.
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  2. #2
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    Re: need help finding tutorial for this problem

    Hey thatsmessedup.

    This is of the form ab - ac = a(b-c) (the distributive law). In this case a = (x-2)^2, b = (x-2), c = 1 which means it reduces to a(b-c) = (x-2)^2(x-2-1) = (x-2)^2(x-3)
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  3. #3
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    Re: need help finding tutorial for this problem

    Quote Originally Posted by thatsmessedup View Post
    Hi guys and gals,
    I am reading schaums outline of precalculus 2nd ed. and I am having some issues solving a problem.

    Can someone point me to a tutorial that can help me factor equations like this:

    (x-2)^3-(x-2)^2

    They give you the answer of (x-2)^2(x-3) but I don't understand how they got there.
    Thank you.
    \begin{align*}(x-2)^3-(x-2)^2=&(x-2)^2(x-2) - (x-2)^2\times 1\\=&(x-2)^2((x-2)-1)\\=&(x-2)^2(x-3)\end{align*}

    does that help?
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  4. #4
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    Re: need help finding tutorial for this problem

    holy cow... thanks for the fast response. I feel like a deer in headlights looking at your math. I will do my best to understand this but I still cant quite grasp it. I am a very visual learner... do you think there are any youtube videos on this?
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  5. #5
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    Re: need help finding tutorial for this problem



    I watch a bit of this one - it might help you I think.
    Thanks from thatsmessedup
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  6. #6
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    Re: need help finding tutorial for this problem

    Damn... I feel smart now! thank you sooooo much! Just what I needed.
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