Factors of $x^{2} + 11 x y + 24 y^{2}$ are:

(x + 8 y) (x + 3 y)

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(x + 6 y) (x + 3 y)

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(x - 8 y) (x + 3 y)

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None of these

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Solution

The correct option is A $(x + 8 y) (x + 3 y)$
$x^{2} + 11 x y + 24 y^{2}$
$= x^{2} + 8 x y + 3 x y + 24 y^{2}$
$= x (x + 8 y) + 3 y (x + 8 y)$
$= (x + 8 y) (x + 3 y)$

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