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Math Help - simplifying a polynomial

  1. #1
    Senior Member euclid2's Avatar
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    simplifying a polynomial

    f(x) = (4x-1) 2 - 5 (3x+7)(3x-7)
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  2. #2
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    Multiply it out, you get (8x-2) -5(9x^2 -49).

    Then combine like terms,
    -45x^2 +8x + 243. Try to factor if possible, probably not.
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  3. #3
    Senior Member euclid2's Avatar
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    Quote Originally Posted by terr13 View Post
    Multiply it out, you get (8x-2) -5(9x^2 -49).

    Then combine like terms,
    -45x^2 +8x + 243. Try to factor if possible, probably not.
    f(x) = (4x-1) 2 - 5 (3x+7)(3x-7)
    (4x-1)(4x-1)-5(3x+7)(3x-7)
    16xsquared-8x+1-5(3x+7)(3x-7)

    how did you get (8x-2x)?
    i got 16xsquared-8x+1 when expanding and simplifying (4x-1)squared
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  4. #4
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    oh, you're taking it to the power. Usually you do ^2 to show that you are taking it to the 2nd power.
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  5. #5
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    if it is (4x-1)squared then

    (4x-1)(4x-1)-5(3x+7)(3x-7)
    (16x^2-4x-4x+1)-5(9x^2-21x+21x-49)
    16x^2-4x-4x+1-45x^2+245
    -29x^2-8x+246

    i hope it helps.
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