Solve: $(2 x - 3 y) (a - 2 b) - (3 x - 2 y) (a - 2 b)$

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Solution

$(2 x - 3 y) (a - 2 b) - (3 x - 2 y) (a - 2 b)$
$\Rightarrow (2 a x - 3 a y - 4 b x + 6 b y) - (3 a x - 2 a y - 6 b x + 4 b y)$
$\Rightarrow 2 a x - 3 a y - 4 b x + 6 b y - 3 a x + 2 a y + 6 b x - 4 a y$
$\Rightarrow - a x - a y + 2 b x + 2 b y$
$\Rightarrow - a (x + y) + 2 b (x + y)$
$\Rightarrow (x + y) (2 b - a)$ Ans

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