Factorize each of the following expressions:

Question:

Factorize each of the following expressions:
ax + ay − bx − by

Solution:

$a x+a y-b x-b y$

$=(a x+a y)-(b x+b y)$      [Grouping the expressions]

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

$=(a-b)(x+y)$                $[$ Taking $(x+y)$ as the common factor $]$

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