Question

27 factor using a gcf: 10xy² + 18xy + 8x

Explanation:

Step1: Identify GCF of coefficients

The coefficients are 16, 28, 8. The greatest common factor is 4.

Step2: Identify GCF of variables

The terms have variables $xy^2$, $xy$, $y$. The GCF is $y$.

Step3: Factor out overall GCF

Factor $4y$ from each term:
$4y \times 4xy = 16xy^2$, $4y \times 7x = 28xy$, $4y \times 2 = 8y$
So the factored form is $4y(4xy + 7x + 2)$

Answer:

$4y(4xy + 7x + 2)$