Factorise:
$2 x^{2} + x y - 6 y^{2}$

(x - 2 y) (2 x - 3 y)

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(2 x + y) (x - 6 y)

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

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

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Solution

The correct option is C $(x + 2 y) (2 x - 3 y)$
$F a c t o r i z i n g {2 x}^{2} + x y - 6 y^{2}, S p l i t x y a s : = 2 x^{2} + 4 x y - 3 x y - 6 y^{2} = 2 x (x + 2 y) - 3 y (x + 2 y) = (x + 2 y) (2 x - 3 y)$

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