Factorize each of the following algebraic expression:4x2 + 12xy +9y2
$4 x^{2}+12 x y+9 y^{2}$
$=(2 x)^{2}+2 \times 2 x \times 3 y+(3 y)^{2}$
$=(2 x+3 y)^{2}$
$=(2 x+3 y)(2 x+3 y)$
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