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31 January, 15:42

What is the simplified product of (2x) (x^2) + (2x) (x) + (2x) (-2) + (3) (x^2) + (3) (x) + (3) (-2)

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  1. 31 January, 17:49
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    (2x) (x^2) + (2x) (x) + (2x) (-2) + (3) (x^2) + (3) (x) + (3) (-2)

    Simplifying

    (2x) (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

    Remove parenthesis around (2x)

    2x (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

    Multiply x * x2

    2x3 + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

    Remove parenthesis around (2x)

    2x3 + 2x (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

    Multiply x * x

    2x3 + 2x2 + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

    Remove parenthesis around (2x)

    2x3 + 2x2 + 2x (-2) + (3) (x2) + (3) (x) + (3) (-2)

    Reorder the terms for easier multiplication:

    2x3 + 2x2 + 2 * - 2x + (3) (x2) + (3) (x) + (3) (-2)

    Multiply 2 * - 2

    2x3 + 2x2 + - 4x + (3) (x2) + (3) (x) + (3) (-2)

    Multiply 3 * - 2

    2x3 + 2x2 + - 4x + 3x2 + 3x + - 6

    Reorder the terms:

    -6 + - 4x + 3x + 2x2 + 3x2 + 2x3

    Combine like terms: - 4x + 3x = - 1x

    -6 + - 1x + 2x2 + 3x2 + 2x3

    Combine like terms: 2x2 + 3x2 = 5x2

    -6 + - 1x + 5x2 + 2x3
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