Factorize: $x (6 x - 5 y) - 4 (6 x - 5 y)^{2}$

(6 x - 5 y) (20 y - 23 x)

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(6 x + 5 y) (10 y - 23 x)

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(6 x + 5 y) (12 y - 23 x)

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(6 x - 5 y) (16 y - 23 x)

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Solution

The correct option is A $(6 x - 5 y) (20 y - 23 x)$
$x (6 x - 5 y) - 4 (6 x - 5 y)^{2}$
$= (6 x - 5 y) (x - 4 (6 x - 5 y))$
$= (6 x - 5 y) (x - 24 x + 20 y)$
$= (6 x - 5 y) (20 y - 23 x)$

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