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13 July, 20:50

Which of the following is a factor of 24x6 - 1029y3?

24

2x2 + 7y

4x4 + 14x2y + 49y2

All of the above

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Answers (1)
  1. 13 July, 21:20
    0
    The answer to your question is only the second and the third are factors.

    Step-by-step explanation:

    Find the factors of 24x⁶ - 1029y³

    First find the prime factors of 24 and 1029

    24 2 1029 3

    12 2 343 7 Then 24 = 2³3

    6 2 49 7 1029 = 7³ 3

    3 3 7 7

    1 1

    x⁶ = (x²) ³ y³ = y³

    Then

    2³3 (x²) ³ - 7³ 3 y³

    Factor 3 3[ 2³ (x²) ³ - 7³ y³]

    Factor 3 [ (2x² - 7y) (4x⁴ + 14x²y + 49y²) ]

    Then

    24

    2x2 + 7y

    4x4 + 14x2y + 49y2

    All of the above
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