Factorise : $x^{2} + 5 x y + 4 y^{2}$

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Solution

$x^{2} + 5 x y + 4 y^{2} = x^{2} + 4 x y + x y + 4 y^{2} = x (x + 4 y) + y (x + 4 y) = (x + 4 y) (x + y)$

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