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