Question

16a2-400b2
factorize the expression​

Answer 1

Answer:

$16(a + 5b)(a - 5b)$

Step-by-step explanation:

$16 {a}^{2} - 400 {b}^{2}$

$= > {(4a)}^{2} - {(20b)}^{2}$

$= > (4a + 20b)(4a - 20b)$

Taking 4 common from each expression gives,

$= > 4(a + 5b) \times 4(a - 5b)$

$= > 16(a + 5b)(a - 5b)$