$Factorise: 12 x y - 8 x + 9 y - 6$

(3 y - 2) (4 x + 3)

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(3 y - 2) (4 x - 3)

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(3 y + 2) (4 x + 3)

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

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Solution

The correct option is A $(3 y - 2) (4 x + 3)$
$Given expression: 12 x y - 8 x + 9 y - 6$

$Taking 4x common from the first two terms and 3 common from the last two terms, we get$

$12 x y - 8 x + 9 y - 6 = 4 x (3 y - 2) + 3 (3 y - 2) = (3 y - 2) (4 x + 3)$

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Factorise: 12 x y - 8 x + 9 y - 6

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x^{2} + 8 x + 24 y - 9 y^{2}

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