Factorize the following equation by the grouping method
$x (6 x - 5 y) - 4 {(6 x - 5 y)}^{2}$

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

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

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(x - y) (10 y - 17 x)

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(x - 5 y) (10 y - 17 x)

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Solution

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

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