Question

Factorise using identities 225a ^2 -256b ^2​

Answer 1

Step-by-step explanation:

$225 {a}^{2} - 256{b}^{2} \\ = {15}^{2} {a}^{2} - {16}^{2} {b}^{2} \\ = {(15a)}^{2} - {(16b)}^{2} \\ using \: identity \:: (a + b)(a - b) = {a}^{2} - {b}^{2} \\ = (15a + 16b)(15a - 16b)$