Consider the difference of cubes identity:

a3 − b3 = (a − b)(a2 + ab + b2).

For the polynomial x3 − 64

(x - 4)(x² + 4x + 16)

Step-by-step explanation:

Using the difference of cubes identity

x³ - 64

= x³ - 4³

= (x - 4)(x² + 4x + 16)