Answer:
[tex](x - 2) \times (x + 2) \times ( {x}^{2} + 4)[/tex]
Step-by-step explanation:
[tex] {x}^{4} - 16[/tex]
➡️ [tex] {x}^{2 \times 2} - 16[/tex]
➡️ [tex] {x}^{2 \times 2} - {4}^{2} [/tex]
➡️ [tex]( {x}^{2} {)}^{2} - {4}^{2} [/tex]
➡️ [tex]( {x}^{2} - 4) \times ( {x}^{2} + 4)[/tex]
➡️ [tex](x - 2) \times (x + 2) \times ( {x}^{2} + 4)[/tex]