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

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Solution

We have,
$4 x^{2} + 12 x y + 9 y^{2} = (2 x)^{2} + 2 \times 2 x \times 3 y + (3 y)^{2}$
$= (2 x + 3 y)^{2}$
$= (2 x + 3 y) (2 x + 3 y)$

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