Factorise $6 x y - 4 y + 6 - 9 x$ .

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

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

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

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

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Solution

The correct option is D $(3 x - 2) and (2 y - 3)$
$6 x y - 4 y + 6 - 9 x$
$= 6 x y - 4 y - 9 x + 6$
$= 2 y (3 x - 2) - 3 (3 x - 2)$
$= (3 x - 2) (2 y - 3)$

The factors of $(6 x y - 4 y + 6 - 9 x)$ are $(3 x - 2)$ and $(2 y - 3) .$

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