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    MBeautifulQueen01's Avatar
    MBeautifulQueen01 Posts: 1, Reputation: 1
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    #1

    Mar 1, 2007, 05:15 PM
    ALGEBRA 1B simplify
    [F]hi i need help on solving a algebra problem the problem is (4x-y)(4x+y) YOU HAVE TO SIMPLIFY IT..
    SBowman's Avatar
    SBowman Posts: 71, Reputation: 6
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    #2

    Mar 1, 2007, 05:25 PM
    Surely you have notes on this, do you not?

    Do you know how to simplify it?
    SBowman's Avatar
    SBowman Posts: 71, Reputation: 6
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    #3

    Mar 1, 2007, 05:33 PM
    Guess it can't hurt, but here's how you simplify it like:

    To simplify a (x-y)(x+y) type formula is:
    x^2 - y^2

    So to apply that you can simply square the first, then square the last and put a minus in. Simplified, it would be 16x^2 - y^2

    Here's how - it'll look like a lot, but just follow along and you'll get it. You need to multiply each thing within the brackets with every number that's after it. So expanded it's:

    = (4x * 4x) + (4x * y) + (-y * 4X) + (-y * y)
    = 16x^2 + 4xy - 4xy - y^2

    The 4xy's cancel each other out:

    16x^2 - y^2

    Hope that clears anything up.
    chris_daughtry9's Avatar
    chris_daughtry9 Posts: 1, Reputation: 1
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    #4

    Feb 13, 2009, 06:40 PM
    Quote Originally Posted by SBowman View Post
    Guess it can't hurt, but here's how you simplify it like:

    To simplify a (x-y)(x+y) type formula is:
    x^2 - y^2

    So to apply that you can simply square the first, then square the last and put a minus in. Simplified, it would be 16x^2 - y^2

    Here's how - it'll look like alot, but just follow along and you'll get it. You need to multiply each thing within the brackets with every number that's after it. So expanded it's:

    = (4x * 4x) + (4x * y) + (-y * 4X) + (-y * y)
    = 16x^2 + 4xy - 4xy - y^2

    The 4xy's cancel each other out:

    16x^2 - y^2

    Hope that clears anything up.
    but why can't it solve the x and the y
    rwinterton's Avatar
    rwinterton Posts: 289, Reputation: 15
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    #5

    Feb 14, 2009, 06:25 AM

    Quote Originally Posted by chris_daughtry9 View Post
    but why can't it solve the x and the y
    You only have one equation, but two unknowns. There is an infinite number of solutions to this equation. For example, pick a number (any number) for x and then solve for y. Then, pick another number for x and solve for y. You can do this all day. If you had another independent equation, you could solve the pair for one x and one y.
    sierra2smart's Avatar
    sierra2smart Posts: 1, Reputation: 1
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    #6

    Jan 5, 2011, 08:17 AM
    (x - 2)(x + 3)
    (x - 3)(x - 2)
    kpeaster's Avatar
    kpeaster Posts: 1, Reputation: 1
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    #7

    Jan 5, 2012, 04:15 PM
    3^3x3^4
    keith1's Avatar
    keith1 Posts: 2, Reputation: 1
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    #8

    Jan 10, 2012, 04:31 PM
    Rewrite the second equation in the linear system in terms of y. -6x+7y=252 -6x+y=0 y=
    keith1's Avatar
    keith1 Posts: 2, Reputation: 1
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    #9

    Jan 10, 2012, 04:32 PM
    *****hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhh
    victorpascow's Avatar
    victorpascow Posts: 2, Reputation: 1
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    #10

    Mar 16, 2012, 06:57 AM
    (4x-y)(4x+y)
    use the distributive property (FOIL)
    4 times 4=16 then you have two x's so it would be 16x^2 then 4x times y which is 4xy. Then from 4xy, you subtract 4xy (since -4xy is inside) then subtract -y so the answer would be 16x^2-y.
    This's what I mean:
    FOIL: (4x-y)(4x+y)
    4x times 4x=16x^2
    4x times y =4xy-4xy=0
    So it would be 16x^2+0-y
    Cancel out the 0 and you get 16x^2-y
    I'm really good at math and hope this helps!
    victorpascow's Avatar
    victorpascow Posts: 2, Reputation: 1
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    #11

    Mar 16, 2012, 07:01 AM
    I forgot there's 2 y's. The real answer really is 16x^2-y^2

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