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Question

Factorize each of the following algebraic expressions.

(2x - 3y) (a + b) + (3x - 2y) (a + b)

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Solution

(2x - 3y) (a + b) + (3x - 2y) (a + b)

= (a + b) {2x - 3y + 3x - 2y}

{ (a + b) is common }

= (a + b) (5x - 5y)

= 5 (a + b) (x - y)


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