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skelet666 [1.2K]
4 years ago
15

Factor completely 16x^8 − 1.

Mathematics
1 answer:
iren [92.7K]4 years ago
8 0

Answer:

<h3>16x^8 − 1  = (4x^4 + 1)(2x^2 + 1)(2x^2 - 1)</h3><h3 />

Step-by-step explanation:

The difference of squares:

((ax)^2n - b) = (ax^n + b)(ax^n - b)

16x^8 − 1 = (4x^4 + 1)(4x^4 - 1)

(4x^4 - 1) = (2x^2 + 1)(2x^2 - 1)

<h3>16x^8 − 1  = (4x^4 + 1)(2x^2 + 1)(2x^2 - 1)</h3>
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