Factorisation of the expression $6 x y - 4 y + 6 - 9 x$ results in:

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

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

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

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

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Solution

The correct option is B $(2 y - 3) (3 x - 2)$
$6 x y - 4 y + 6 - 9 x$
$= 6 x y - 9 x - 4 y + 6$ ...(Regrouping the terms)
$= 3 x (2 y - 3) - 2 (2 y - 3)$
$= (2 y - 3) (3 x - 2)$

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