Question
Factorize:
$x^2 y z+x y^2 z+x y z^2$

Answer

The greatest common factor of the term
$x^2 y z, x y^2 z$ and $x y z^2$ of the expression
$x^2 y z+x y^2 z+x y z^2$ is $x y z$.
Also, we can write $x^2 y z=(x y z . x),\left(x y^2 z=x y z . y\right), x y^2 z=(x y z . z)$
Therefore, $x^2 y z+x y^2 z+x y z^2=(x y z . x)+(x y z . y)+(x y z . z)$

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