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 $]$