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)(x² + 8)(x4 + 8) 
(x²-4)(x² + 8)(x4 + 8)

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

case C)
(x – 2)(x + 2)(x² + 4)(x4 + 16) 
(x²-4)(x² + 4)(x4 + 16)
(x4 -16)(x4 + 16)
(x8-256)

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

the answer is
the option 
C) (x – 2)(x + 2)(x2 + 4)(x4 + 16) 

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