Question
Factorize:
$9 x^2 y+3 a x y$

Answer

The greatest common factor of the term
$9 x^2 y$ and $3 a x y$ of the expression
Also, we can write $9 x^2 y=3 a x y .3 x$ and $3 a x y=3 x y \cdot a$
Therefore, $9 x^2 y+3 a x y=(3 x y \cdot 3 x)+(3 x y \cdot a)$
$=3 x y(3 x+a)$

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