Which expression is equivalent to 64y18 – 1000z6?

Rewrite each term as a cube: 64y¹⁸ = (4y⁶)³ because 4³ = 64 and (y⁶)³ = y¹⁸. Also, 1000z⁶ = (10z²)³ because 10³ = 1000 and (z²)³ = z⁶. So the equivalent expression is (4y⁶)³ − (10z²)³, choice A.

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