Factors of $3 x^{2} + 8 x y + 4 y^{2}$ are

(3 x + 4) (4 - x)

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(3 - x) (3 x + 2)

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(x + 2 y) (3 x + 2 y)

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None of these

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Solution

The correct option is D $(x + 2 y) (3 x + 2 y)$
Factors of $3 x^{2} + 8 x y + 4 y^{2}$
$= 3 x^{2} + 6 x y + 2 x y + 4 y^{2}$
$= 3 x (x + 2 y) + 2 y (x + 2 y)$
$= (x + 2 y) (3 x + 2 y)$
Option C is correct.

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