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Math Help - Factoring Assingment

  1. #1
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    Post Factoring Assingment

    hi, im doing this factoring assignment, and i cant figure out some of the problems , i'd be extremely glad if someone could help me.

    (2m+8)^2 - (4m+5)^2 I have no idea how to start with this one

    x^2 - 21x -72


    (x-2)^2 -16 Is this one a difference of squares? and how do
    i resolve it?

    25x^2 +30xy + 9y^2 is this a tough polynomial? because i have no
    idea how to resolve it, i got confused, or should i
    resolve it using common factoring, only i've tried that and didnt work...
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  2. #2
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    Quote Originally Posted by lausalas View Post
    hi, im doing this factoring assignment, and i cant figure out some of the problems , i'd be extremely glad if someone could help me.

    (2m+8)^2 - (4m+5)^2 I have no idea how to start with this one

    (2m+8)*(2m+8)-((4m+5)*(4m+5))
    foil these out and then simplify.

    x^2 - 21x -72
    look for terms that multiply to -72 but add to -21
    (x- )(x+ )


    (x-2)^2 -16 Is this one a difference of squares? and how do
    i resolve it?
    if you had (x^2-9) this would also be a difference of squares and it would factor to (x+3)(x-3)=0

    25x^2 +30xy + 9y^2 is this a tough polynomial? because i have no
    idea how to resolve it, i got confused, or should i
    resolve it using common factoring, only i've tried that and didnt work...
    Not sure about this one. Is that all you were given?
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  3. #3
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    thanks you

    but im still not sure how to do this one

    (x-2)^2 -16, so then, is not a diference of squres, then what is it?
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  4. #4
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    Quote Originally Posted by lausalas View Post
    thanks you

    but im still not sure how to do this one

    (x-2)^2 -16, so then, is not a diference of squres, then what is it?
    It is a difference of squares. [x-2]^2-4^2. Factor it like normal.
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  5. #5
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    Quote Originally Posted by lausalas View Post
    thanks you

    but im still not sure how to do this one

    (x-2)^2 -16, so then, is not a diference of squres, then what is it?
    It is a difference of squares. I was just giving you an example to go by.
    If your problem was (x^2-16) would you know how to do it?
    For example, if the problem was (x^2-49). It would factor to (x-7)(x+7)=0
    If you foil those two you get back to (x^2-49), right?
    For your problem think of the (x-2)^2 as being simply x^2. Everywhere you would put x just put (x-2). Okay?
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