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27 February, 08:06

What is the factorization of 216x12 - 64?

(6x3 - 4) (36x6 + 24x3 + 16)

(6x3 - 4) (36x9 + 24x3 + 16)

(6x4 - 4) (36x8 + 24x4 + 16)

(6x4 - 4) (36x12 + 24x4 + 16)

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  1. 27 February, 08:18
    0
    216x¹² - 64

    8 (27x¹²) - 8 (8)

    8 (27x¹² - 8)

    8 (27x¹² + 18x⁶ - 18x⁶ + 12x⁴ - 12x⁴ - 8)

    8 (27x¹² + 18x⁸ + 12x⁴ - 18x⁸ - 12x⁴ - 8)

    8[3x⁴ (9x⁸) + 3x⁴ (6x⁴) + 3x⁴ (4) - 2 (9x⁶) - 2 (6x⁴) - 2 (4) ]

    8[3x⁴ (9x⁸ + 6x⁴ + 4) - 2 (9x⁸ + 6x⁴ + 4) ]

    8 (3x⁴ - 2) (9x⁸ + 6x⁴ + 4)

    The answer is C.
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