Which trinomial is equivalent to 3(x-2)^2 – 2(x-1)

Question

Which trinomial is equivalent to 3(x-2)^2 – 2(x-1)

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2022-05-23T09:11:26+00:00 2 Answers 0

Answers ( 2 )

  1. Elliana
    0
    2022-05-23T09:12:26+00:00

    Answer:

    [tex]3x^2-14x+14[/tex]

    Step-by-step explanation:

    the expression we have is:

    [tex]3(x-2)^2-2(x-1)[/tex]

    to solve we need to develop the square binomial

    [tex](x-2)^2[/tex]

    with the following formula:

    [tex](a-b)^2=a^2-2ab+b^2[/tex]

    So we have:

    [tex](x-2)^2=x^2-2*2x+2^2(x-2)^2=x^2-4x+4[/tex]

    and the expression now is:

    [tex]3(x^2-4x+4)-2(x-1)[/tex]

    developing multiplications to remove parentheses:

    [tex]3x^2-3*4x+3*4-2x+2*13x^2-12x+12-2x+2[/tex]

    joining like terms:

    [tex]3x^2-14x+14[/tex]

  2. Nevaeh
    0
    2022-05-23T09:12:58+00:00

    This expression can be simplified so it becomes:

    (3x^2 – 4) – (2x – 1)

    3x^2 – 2x – 3

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