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Question
Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)
Solution
\[(2x - 3y)(a + b) + (3x - 2y)(a + b)\]
\[ = (2x - 3y + 3x - 2y)(a + b) [\text{ Taking }(a + b)\text{ as the common factor }]\]
\[ = (5x - 5y)(a + b)\]
\[ = 5(x - y)(a + b) [\text{ Taking 5 as the common factor of }(5x - 5y)]\]
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