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Factorisation by Regrouping Terms

The factroris...

Question

The factrorisation of $6 x y - 4 y + 6 - 9 x$ is :

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

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

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

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

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Solution

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

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