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Math Help - Help with polynomial

  1. #1
    Newbie TriForce's Avatar
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    Help with polynomial

    Hi, in one of the steps of a particular problem in my math book the author simply rewrites an equation to the following:

    p(2p+1)(2p-1)+3(2p+1)^2 = (2p+1)(p(2p-1)+3(2p+1))

    Basically factorizing the equation. It should be really simple but I' don't see how this can be achieved easily.
    Is there some trick that I'm missing?
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  2. #2
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    Re: Help with polynomial

    A common factor of (2p + 1) was taken out.
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  3. #3
    Newbie TriForce's Avatar
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    Re: Help with polynomial

    The equation is valid right?

    Is it easy to see that step without writing it down on paper? Or are there some steps in between?
    Last edited by TriForce; February 19th 2014 at 12:34 AM.
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  4. #4
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    Re: Help with polynomial

    Quote Originally Posted by TriForce View Post
    The equation is valid right?

    Is it easy to see that step without writing it down on paper? Or are there some steps in between?
    seems pretty clear

    $$p(2p+1)(2p-1)+3(2p+1)^2$$

    maybe to make it clearer let x = (2p+1)

    $$p x (2p-1) + 3x^2$$

    $$x(p(2p-1)+3x)$$

    $$(2p+1)\left(p(2p-1) + 3(2p+1)\right)$$
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  5. #5
    Newbie TriForce's Avatar
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    Re: Help with polynomial

    Ah, that's it! Think I've spend so much time on it that I've became blind...

    Thanks!
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