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Math Help - please explain to me how to simplify this equation

  1. #1
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    Question please explain to me how to simplify this equation

    please show me how to simplify this equation
    (2x+1)(x-3)2 the 2 at the end of the equation is squared

    Last edited by lostone; May 29th 2007 at 04:34 PM.
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  2. #2
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    Quote Originally Posted by lostone View Post
    please show me how to simplify this equation
    (2x+1)(x-3)2 the 2 at the end of the equation is squared

    It is already simplified,
    (2x+1)(x-3)^2

    Unless you want to multiply it out.
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by lostone View Post
    please show me how to simplify this equation
    (2x+1)(x-3)2 the 2 at the end of the equation is squared

    this is simplified, you mean you want to expand

    ok, i won't try to confuse you with the shortcut on expanding binomial squares, let's get down and dirty. rewrite the square term as two terms, then work on the sets of brackets two by two. take one term in one set of brackets and multiply everything in the other set of brackets, then take the other term in the first set of brackets and multiply everything in the other set of brackets again

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

    = (2x + 1)(x^2 - 3x - 3x + 9)

    = (2x + 1)(x^2 - 6x + 9)

    = 2x^3 - 12x^2 + 18x + x^2 - 6x + 9

    = 2x^3 - 11x^2 + 12x + 9


    got it?
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  4. #4
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    But isn't bad remember it (a-b)^2=a^2-2ab+b^2

    Greetings
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Krizalid View Post
    But isn't bad remember it (a-b)^2=a^2-2ab+b^2

    Greetings
    that's true, that's "the shortcut" i was talking about. in fact, it is more general than that:

    (a \pm b)^2 = a^2 \pm 2ab + b^2

    however, in my experience, most students are intimidated by such formulas and actually prefer to do it the long way. i figured if lostone was interested in the formula he/she would ask, "so what's the shortcut?" but lostone seemed pleased, so i just didn't say anything. besides, knowing the long way helped to simplify the other part when you had the binomial times the trinomial
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