Question

1. factor: $12x^2y^3 + 24xy^2$

Explanation:

Step1: Identify GCF of coefficients

The greatest common factor (GCF) of 12 and 24 is 12.

Step2: Identify GCF of x terms

The GCF of $x^2$ and $x$ is $x$.

Step3: Identify GCF of y terms

The GCF of $y^3$ and $y^2$ is $y^2$.

Step4: Factor out overall GCF

Divide each term by $12xy^2$ and write as product.
$12x^2y^3 + 24xy^2 = 12xy^2(x y + 2)$

Answer:

$12xy^2(xy + 2)$