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Math Help - Can someone help me with 3x^2-27(2-x)^2

  1. #1
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    Can someone help me with 3x^2-27(2-x)^2

    I need to know how to factor:

    3x^2-27(2-x)^2

    But I have no idea what steps I must do to be able to get to the answer (according to the answers page of my textbook) of:

    -12(2x-3)(x-3)

    Help would be GREATLY appreciated! Thank you so much~

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  2. #2
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    Re: Can someone help me with 3x^2-27(2-x)^2

    First expand the expression and group the like terms. What do you get?
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  3. #3
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    Re: Can someone help me with 3x^2-27(2-x)^2

    Quote Originally Posted by idkmath View Post
    I need to know how to factor:

    3x^2-27(2-x)^2

    But I have no idea what steps I must do to be able to get to the answer (according to the answers page of my textbook) of:

    -12(2x-3)(x-3)

    Help would be GREATLY appreciated! Thank you so much~

    3x^2-27(2-x)^2=3(x^2-(3(2-x))^2)=

    =3(x-3(2-x))(x+3(2-x))
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  4. #4
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    Re: Can someone help me with 3x^2-27(2-x)^2

    (2-x)^2 = 2\times 2+2\times -x-x\times 2 -x\times -x
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