Mathematics: Factor completely 16x^8 − 1.

Factor completely 16x^8 − 1. - id16816413814, hubs14

angelynb1497

26.01.2022

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

Step-by-step explanation:

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milkshakegrande101

26.01.2022

(2x² - 1)(2x² + 1)(4 $x^{4}$ + 1)

Step-by-step explanation:

16 $x^{8}$ - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

16 $x^{8}$ - 1

= (4 $x^{4}$ )² - 1²

= (4 $x^{4}$ - 1)(4 $x^{4}$ + 1) ← 4x $x^{4}$ - 1 is also a difference of squares

4 $x^{4}$ - 1

= (2x² )² - 1²

= (2x² - 1)(2x² + 1)

Thus

16 $x^{8}$ - 1 = (2x² - 1)(2x² + 1)(4 $x^{4}$ + 1)

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raerea2005

20.03.2020

C is the correct answer Lines r and s and lines t and u must be parallel.

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