Answer:
[tex]16(a + 5b)(a - 5b)[/tex]
Step-by-step explanation:
[tex]16 {a}^{2} - 400 {b}^{2} [/tex]
[tex] = > {(4a)}^{2} - {(20b)}^{2} [/tex]
[tex] = > (4a + 20b)(4a - 20b)[/tex]
Taking 4 common from each expression gives,
[tex] = > 4(a + 5b) \times 4(a - 5b)[/tex]
[tex] = > 16(a + 5b)(a - 5b)[/tex]
