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11 July, 05:03

Select the correct answer. What is the simplest form of this expression? (2x - 3) (3x2 + 2x - 1) A. 6x3 - 5x2 - 8x + 3 B. 6x3 - 5x2 - 6x + 2 C. 6x3 - 9x2 - 4x + 3 D. 6x3 - 2x2 - 8x + 3

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  1. 11 July, 07:40
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    Answer: A. 6x3 - 5x2 - 8x + 3

    Step-by-step explanation: this is a multiplication (2x - 3) = A (3x2 + 2x - 1) = B, so we are going to multiply each value from A with every value of B

    for example you can start 2X from A

    2X. 3X2 = 6X3

    2X. 2X = 4X2

    2X. - 1 = - 2X

    now with - 3

    -3. 3X2 = - 9X2

    -3. 2X = - 6X

    -3. 1 = - 3

    mow we can put every value in one equation

    6X3 + 4X2 + 2X - 9X2 - 6 X - 3

    after that, you can simplify the common values for example

    4X2 - 9X2 = - 5x2

    - 2X - 6 X = - 8x

    this the last equation that we get after simplify

    6x3 - 5x2 - 8x + 3
  2. 11 July, 07:54
    0
    Step-by-step explanation:

    So the 2 expressions are being multiplied:

    (2x - 3) ((3x^2 + 2x-1) =

    (2x) 3x2) = 6x^3

    (2x) (2X) = 4X^2

    (2X) (-1) = -2X

    (-3) (3X^2) = -9X^2

    (-3) (2X) = -6X

    (-3) (-1) = 3

    Now add all of the products together to get the final answer =

    6x^3-5x^2-8x+3
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