Factor completely 16x^8 − 1.

(4x^4 + 1)  (2x^2 + 1)  (2x^2 - 1)

Step-by-step explanation:

(2x² - 1)(2x² + 1)(4 + 1)

Step-by-step explanation:

16 - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

16 - 1

= (4 )² - 1²

= (4 - 1)(4 + 1) ← 4x - 1 is also a difference of squares

4 - 1

= (2x² )² - 1²

= (2x² - 1)(2x² + 1)

Thus

16 - 1 = (2x² - 1)(2x² + 1)(4 + 1)

4

step-by-step explanation: