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Math Help - Distribute and Simplify help

  1. #1
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    Distribute and Simplify help

    Ok I have to Distribute and Simplify...

    2x(3x-24) + 4(2x+4+3y) - 2y(2x + 2y) - x(x-y)

    Any help, much appriciated.
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  2. #2
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    Quote Originally Posted by elitescouter View Post
    Distribute and Simplify...

    2x(3x-24) + 4(2x+4+3y) - 2y(2x + 2y) - x(x-y)
    Where are you stuck in this simplification with parentheses exercise? (It's a lot easier for us to "see" where you're having trouble if you show us what you've tried.)

    You probably started with something like the following:

    . . . . . 2x(3x\, -\, 24)\, +\, 4(2x\, +\, 4\, +\, 3y)\, -\, 2y(2x\, +\, 2y)\, -\, x(x\, -\, y)

    . . . . . 2x(3x)\, +\, 2x(-24)\, +\, 4(2x)\, +\, 4(4)\, +\, 4(3y)\, -\, 2y(2x)\, -\, 2y(2y)\, -\, x(x)\, -\, x(-y)

    . . . . . 6x^2\, +\, (-48x)\, +\, 8x\, +\, 16\, +\, 12y\, -\, 4xy\, -\, 4y^2\, -\, x^2\, -\, (-xy)

    Where did you go from there?

    Please be complete. Thank you!
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  3. #3
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    To be honest I have no idea how to do this... That is why I am here. I have done problems like this before but never with x and y's so that is where I got confused.
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  4. #4
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    Quote Originally Posted by elitescouter View Post
    To be honest I have no idea how to do this... That is why I am here. I have done problems like this before but never with x and y's so that is where I got confused.
    Quote Originally Posted by stapel View Post
    [snip]
    You probably started with something like the following:

    . . . . . 2x(3x\, -\, 24)\, +\, 4(2x\, +\, 4\, +\, 3y)\, -\, 2y(2x\, +\, 2y)\, -\, x(x\, -\, y) Line 1


    . . . . . 2x(3x)\, +\, 2x(-24)\, +\, 4(2x)\, +\, 4(4)\, +\, 4(3y)\, -\, 2y(2x)\, -\, 2y(2y)\, -\, x(x)\, -\, x(-y) Line 2


    . . . . . 6x^2\, +\, (-48x)\, +\, 8x\, +\, 16\, +\, 12y\, -\, 4xy\, -\, 4y^2\, -\, x^2\, -\, (-xy) Line 3

    Where did you go from there?

    [snip]
    Next line: ....?

    You have been given the first three lines of the solution and been asked to try and get the next line. What did you try? Where do you get stuck in going from the third line to the next line?
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  5. #5
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    This is what i got

    5x^2\, -\, 48x\, +\, 16\, +\, 12y\, -\, 3xy\, -\, 4y^2\,
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  6. #6
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    Quote Originally Posted by elitescouter View Post
    This is what i got

    5x^2\, -\, {\color{red}48} x\, +\, 16\, +\, 12y\, -\, 3xy\, -\, 4y^2\,
    The number in red is wrong.
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  7. #7
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    Quote Originally Posted by mr fantastic View Post
    The number in red is wrong.
    5x^2\, -\, -48x\, +\, 16\, +\, 12y\, -\, 3xy\, -\, 4y^2\,

    Did I forget to make it a negative 48?
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  8. #8
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    Quote Originally Posted by elitescouter View Post
    5x^2\, -\, -48x\, +\, 16\, +\, 12y\, -\, 3xy\, -\, 4y^2\,

    Did I forget to make it a negative 48?
    It's meant to be - 40x.

    Go back and look at line 3. There are two x terms. You have not taken into account the second.
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  9. #9
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    Quote Originally Posted by mr fantastic View Post
    It's meant to be - 40x.

    Go back and look at line 3. There are two x terms. You have not taken into account the second.
    Ok, Thank You!!! Wow I need to do more of these excercises I got a exam soon and I don't want to be stuck on something like this.
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