Factorise : $a x^{3} y^{2} + b x^{2} y^{3} + c x^{2} y^{2} z$ .

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Solution

$a x^{3} y^{2} + b x^{2} y^{3} + c x^{2} y^{2} z$

Minimum power of $x$ and $y$ present in each term is 2. Hence $x^{2} y^{2}$ can be taken common.
$a x^{3} y^{2} + b x^{2} y^{3} + c x^{2} y^{2} z = x^{2} y^{2} (a x + b y + c z)$

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