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

(x + y) (4 x + y - 2)

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(x - y) (4 x - y + 2)

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(x + y) (4 x - y - 2)

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(x - y) (4 x + y + 2)

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Solution

The correct option is D $(x - y) (4 x + y + 2)$
$4 x^{2} - y^{2} + 2 x - 2 y - 3 x y = 4 x^{2} - y^{2} + 2 x - 2 y - 4 x y + x y$
$= x (4 x + y + 2) - y (y + 4 x + 2) = (x - y) (4 x + y + 2)$

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