Question

factor $18x^{3}y^{2}+12xy^{2}$ completely.

Explanation:

Step1: Find GCF of coefficients

GCF of 18 and 12 is 6.

Step2: Find GCF of variables

GCF of $x^3y^2$ and $xy^2$ is $xy^2$.

Step3: Factor out overall GCF

Factor $6xy^2$ from each term:
$18x^3y^2 + 12xy^2 = 6xy^2(3x^2 + 2)$

Answer:

$6xy^2(3x^2 + 2)$