Question

4x^2-9y^2 .....factorise it .​

Answer 1

Answer:

4x² - 9y²

=>(2x) ² - (3y) ²

=>(2x-3y) *(2x+3y)

Answer 2

(2x+3y)(2x−3y) is the factorised form of the expression

Explanation:

4x2−9y2 can be also written as (2x)2−(3y)2

Now, as per identity:

a2−b2=(a+b)(a−b)

So , in case of our expression

a=2x,b=3y

(2x)2−(3y)2=(2x+3y)(2x−3y)