Which expression is equivalent to x8 - 256?

A) (x - 2) (x + 2) (x2 + 8) (x4 + 8)

B) (x - 2) (x - 2) (x2 + 4) (x4 + 16)

C) (x - 2) (x + 2) (x2 + 4) (x4 + 16)

D) (x + 2) (x + 2) (x2 + 4) (x4 + 16)

We have that

case A)

(x - 2) (x + 2) (x ² + 8) (x4 + 8)

(x ²-4) (x² + 8) (x4 + 8)

case B)

(x - 2) (x - 2) (x ² + 4) (x4 + 16)

(x-2) ² (x² + 4) (x4 + 16)

case C)

(x - 2) (x + 2) (x ² + 4) (x4 + 16)

(x ²-4) (x² + 4) (x4 + 16)

(x4 - 16) (x4 + 16)

(x8-256)

case D)

(x + 2) (x + 2) (x ² + 4) (x4 + 16)

(x+2) ² (x² + 4) (x4 + 16)

the answer is

the option

C) (x - 2) (x + 2) (x2 + 4) (x4 + 16)