Factorize each of the following algebraic expression:
Question:

Factorize each of the following algebraic expression:
4x2 + 12xy +9y2

Solution:

$4 x^{2}+12 x y+9 y^{2}$

$=(2 x)^{2}+2 \times 2 x \times 3 y+(3 y)^{2}$

$=(2 x+3 y)^{2}$

$=(2 x+3 y)(2 x+3 y)$