What is 64x12 – 1,000 written as a difference of cubes?

To write each term as a cube, take its cube root. The cube root of 64x¹² is 4x⁴, since (4x⁴)³ = 64x¹²; the cube root of 1,000 is 10, since 10³ = 1,000. So the expression is (4x⁴)³ − 10³, choice C.

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