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Math Help - confused

  1. #1
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    confused

    what is the simplest form of (3y+4z)(3y-4z)
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  2. #2
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    Re: confused

    Quote Originally Posted by joedil View Post
    what is the simplest form of (3y+4z)(3y-4z)
    It depends whether you consider the factorised form \displaystyle \begin{align*} (3y + 4z)(3y - 4z) \end{align*} or the expanded form \displaystyle \begin{align*} 9y^2 - 16z^2 \end{align*} the simplest...
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  3. #3
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    Re: confused

    (x + y)(x - y) = x^2 - y^2
    Look up "difference of squares"
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  4. #4
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    Re: confused

    I just have a homework question I've been stuck on and hoping you guys can help me out a bit.
    COnsider the number 48. If you add 1 to it, you get 49, which is a perfect square. If you add 1 to its (1/2), you get 25, which is also a perfect square. Please find the next 2 numbers with the same properties. like 48+1=49 (perfect square)
    48/2=24, 24+1=25 (perfect square)

    Thank you so much!
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  5. #5
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    Re: confused

    While it's probably not my place to educate new members, you, themathlete1, need to post a new thread for each question. Don't piggyback other people's threads. If you need a refresher on the rules, well, I cannot find them anywhere. They were here a year ago. In any case, make a new thread for each post. More people will see your problem.
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  6. #6
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    Re: confused

    Next 4: 1680, 57120, 1940448, 65918160

    n + 1 = u^2
    n/2 + 1 = v^2 (so n = even)
    leads to:
    2v^2 - u^2 = 1
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