Question

factorise using appropiate identities 25-169a⁴​

Answer 1

Answer:

(5 + 13a²)(5 - 13a²)

Step-by-step explanation:

We can factorise the following expression by using the identity:

a² - b² = (a+b)(a-b)

So,

⇒ 25 - 169a⁴  (a² - b²)

⇒ √25 = 5            (a)

⇒ √169a⁴ = 13a²   (b)

Hence, the factorized expression will be :

(5 + 13a²)(5 - 13a²)     (a+b)(a-b)

Hope it helps!

Answer 2

Step-by-step explanation:

$25 - 169 {a}^{4} \\ = {5}^{2} - {(13 {a}^{2} )}^{2} \\ = (5 - 13 {a}^{2} )(5 + 13 {a}^{2} )$

Hope you get your answer