Question:
Factorize each of the following expressions:
x2 + xy + xz + yz
Solution:
$x^{2}+x y+x z+y z$
$=\left(x^{2}+x y\right)+(x z+y z)$ [Grouping the expressions]
$=x(x+y)+z(x+y)$
$=(x+z)(x+y)$ $[$ Taking $(x+y)$ as the common factor $]$
$=(x+y)(x+z)$
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