What is the factored form of x3 + 64?

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

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