Factorize each of the following expressions:

Question:

Factorize each of the following expressions:
axy + bcxy − az − bcz

Solution:

$a x y+b c x y-a z-b c z$

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

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

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

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