Final answer:
The expression x - 4 is a factor of x^3 - 64.
Step-by-step explanation:
We can factor the given expression x^3 - 64 using the difference of cubes formula. This formula states that a^3 - b^3 = (a - b)(a^2 + ab + b^2). In this case, a = x and b = 4. So, we have:
x^3 - 64 = (x - 4)(x^2 + 4x + 16)
Therefore, the expression x - 4 is a factor of x^3 - 64.