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