Factorize by taking out the common factors :
$2 (2 x - 5 y) (3 x + 4 y) - 6 (2 x - 5 y) (x - y)$

14 y (x - 5 y)

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19 y (x + 5 y)

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14 y (2 x - 5 y)

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19 y (2 x + 5 y)

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Solution

The correct option is B $14 y (2 x - 5 y)$
$2 (2 x - 5 y) (3 x + 4 y) - 6 (2 x - 5 y) (x - y)$
$= 2 (2 x - 5 y) [3 x + 4 y - 3 (x - y)]$
$= 2 (2 x - 5 y) (7 y)$
$= 14 y (2 x - 5 y)$

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