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7 November, 22:02

Simplify the expression 3x (x-12x) + 3x^2-2 (x-2) ^2. which statements Are true about the process and simplified product check all that apply

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  1. 7 November, 23:49
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    -8 (4 x^2 - x + 1)

    Step-by-step explanation:

    Simplify the following:

    3 x (x - 12 x) + 3 x^2 - 2 (x - 2) ^2

    x - 12 x = - 11 x:

    3 x*-11 x + 3 x^2 - 2 (x - 2) ^2

    3 x (-11) x = 3 x^2 (-11):

    -11*3 x^2 + 3 x^2 - 2 (x - 2) ^2

    3 (-11) = - 33:

    -33 x^2 + 3 x^2 - 2 (x - 2) ^2

    3 x^2 - 33 x^2 = - 30 x^2:

    -30 x^2 - 2 (x - 2) ^2

    (x - 2) (x - 2) = (x) (x) + (x) (-2) + (-2) (x) + (-2) (-2) = x^2 - 2 x - 2 x + 4 = x^2 - 4 x + 4:

    -30 x^2 - 2 x^2 - 4 x + 4

    -2 (x^2 - 4 x + 4) = - 2 x^2 + 8 x - 8:

    -2 x^2 + 8 x - 8 - 30 x^2

    Grouping like terms, - 2 x^2 - 30 x^2 + 8 x - 8 = (-30 x^2 - 2 x^2) + 8 x - 8:

    (-30 x^2 - 2 x^2) + 8 x - 8

    -30 x^2 - 2 x^2 = - 32 x^2:

    -32 x^2 + 8 x - 8

    Factor - 8 out of - 32 x^2 + 8 x - 8:

    Answer: - 8 (4 x^2 - x + 1)
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