What is the factorization of 1,000x6 – 27?

Use the difference-of-cubes rule: a³ − b³ = (a − b)(a² + ab + b²). Here, 1,000x⁶ = (10x²)³ and 27 = 3³, so the factorization is (10x² − 3)(100x⁴ + 30x² + 9). This matches choice B.

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