Factorise $6 x^{2} + 5 x - 6$ .

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

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

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(4 x + 3) (3 x - 4)

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(4 x - 3) (3 x + 4)

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Solution

The correct option is B
$(3 x - 2) (2 x + 3)$

Given expression is $6 x^{2} + 5 x - 6$
$6 x^{2} + 9 x - 4 x - 6$
$3 x (2 x + 3) - 2 (2 x + 3)$
$(2 x + 3) (3 x - 2)$ .
so option B is correct.

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6 x^{2} + 5 x - 6

= (3 x - 2) (2 x + 3)

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