Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)

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Solution

$(2 x - 3 y) (a + b) + (3 x - 2 y) (a + b) = (2 x - 3 y + 3 x - 2 y) (a + b) [T a k i n g (a + b) a s t h e c o m m o n f a c t o r] = (5 x - 5 y) (a + b) = 5 (x - y) (a + b) [T a k i n g 5 a s t h e c o m m o n f a c t o r o f (5 x - 5 y)]$

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