Answer :
Answer:
(4x^4 + 1) (2x^2 + 1) (2x^2 - 1)
Step-by-step explanation:
Answer:
(2x² - 1)(2x² + 1)(4[tex]x^{4}[/tex] + 1)
Step-by-step explanation:
16[tex]x^{8}[/tex] - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
16[tex]x^{8}[/tex] - 1
= (4[tex]x^{4}[/tex] )² - 1²
= (4[tex]x^{4}[/tex] - 1)(4[tex]x^{4}[/tex] + 1) ← 4x[tex]x^{4}[/tex] - 1 is also a difference of squares
4[tex]x^{4}[/tex] - 1
= (2x² )² - 1²
= (2x² - 1)(2x² + 1)
Thus
16[tex]x^{8}[/tex] - 1 = (2x² - 1)(2x² + 1)(4[tex]x^{4}[/tex] + 1)