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ahrayia [7]
4 years ago
14

Which expression is equivalent to x8 - 256?

Mathematics
1 answer:
lyudmila [28]4 years ago
8 0
We have that
case <span>A)
(x – 2)(x + 2)(x</span>²<span> + 8)(x4 + 8) 
(x</span>²-4)(x² + 8)(x4 + 8)

case <span>B)
(x – 2)(x – 2)(x</span>²<span> + 4)(x4 + 16) 
(x-2)</span>²(x² + 4)(x4 + 16) 

case <span>C)
(x – 2)(x + 2)(x</span>²<span> + 4)(x4 + 16) 
(x</span>²-4)(x² + 4)(x4 + 16)
(x4 -16)(x4 + 16)
(x8-256)

case <span>D)
(x + 2)(x + 2)(x</span>²<span> + 4)(x4 + 16)
(x+2)</span>²(x² + 4)(x4 + 16)

the answer is
the option 
<span>C) (x – 2)(x + 2)(x2 + 4)(x4 + 16) </span>
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