Factorise: $2 a (x - y) + 3 b (5 x - 5 y) + 4 c (2 y - 2 x)$

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Solution

$2 a (x - y) + 3 b (5 x - 5 y) + 4 c (2 y - 2 x)$

$= 2 a (x - y) + 3 b \times 5 (x - y) + 4.2 (x - y c)$

$= 2 a (x - y) + 15 b (x - y) - 8 c (x - y)$

$= (2 a + 15 b - 8 c) (x - y)$

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