Question

4x²+12xy+9y², Factorize the given equation.

Answer 1

4x²+12xy+9y²

=(2x)²+2.2x.3y+(3y)²

Using the identity, a²+2ab+b²=(a+b)²,.Where a=2x, and b=3y, we get

= (2x+3y)²

Answer 2

Given,

$4x^{2} + 12xy + 9y^{2} \\ \\= (2x)^{2} + 2*(2x)(3y) + (3y)^{2} \\ \\ =(2x+3y)^{2} \\ \\ \textbf{Using identity} (a+b)^{2} = a^{2} + 2ab + b^{2} \ \\ \\ \text{In this question a = 2x and b = 3y}$