Question

factorise by using suitable identity 4a^2 +81b^2 -36ab​

Answer 1

Answer:

4a^2 +81b^2 -36ab​

(2a)^2+ (9b)^2- 2(18ab)

(2a)^2+ (9b)^2- 2 (2a)(9b)

This is in the form

a^2+b^2+2ab

= (a+b)^2

Therefore this is equal to

(4a+9b)^2

Hope this helps u :)

Answer 2

EXPLANATION.

Factorizes : 4a² + 81b² - 36ab.

As we know that,

Formula of :

⇒ (x - y)² = x² + y² - 2xy.

Using this formula in the equation, we get.

We can write equation as,

⇒ (2a)² + (9b)² - 2 x (2a) x (9b).

⇒ (2a - 9b)².