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 + 2)

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Solution

The correct option is B $(x - y) (4 x + y + 2)$
$T h e z e r o o f t h e e q u a t i o n i s a t x = y . ∴ x - y i s a f a c t o r . G i v e n e x p r e s s i o n i s {4 x}^{2} - y^{2} - 2 x - 2 y - 3 x y . = {4 x}^{2} - 3 x y - y^{2} - 2 x - 2 y . = {4 x}^{2} - 4 x y + x y - y^{2} + 2 x - 2 y = 4 x (x - y) + y (x - y) + 2 (x - y) = (x - y) (4 x + y + 2)$

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