What is the factored form of x3 + 64?

Recognize 64 as 4³, so x³ + 64 is a sum of cubes. Use the rule a³ + b³ = (a + b)(a² − ab + b²): with a = x and b = 4, this gives (x + 4)(x² − 4x + 16), which is choice B.

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