Answer:
[tex] (5p - 2)(5p + 2)(25 {p}^{2} + 4)[/tex]
Step-by-step explanation:
[tex]625 {p}^{4} - 16 \\ =( 25 {p}^{2}) ^{2} - {4}^{2} \\ = (25 {p}^{2} - 4) (25 {p}^{2} + 4) \\ = \{(5 {p})^{2} - ({2})^{2} \}(25 {p}^{2} + 4) \\ = (5p - 2)(5p + 2)(25 {p}^{2} + 4) \\ [/tex]
