Question

factor.
$8b^2 + 2b$

$8b^2 + 2b = \square$
(factor completely.)

Explanation:

Step1: Find the GCF of terms

The terms are \(8b^2\) and \(2b\). The GCF of 8 and 2 is 2, and the GCF of \(b^2\) and \(b\) is \(b\). So the GCF is \(2b\).

Step2: Factor out the GCF

Divide each term by \(2b\): \(\frac{8b^2}{2b}=4b\) and \(\frac{2b}{2b}=1\). So \(8b^2 + 2b = 2b(4b + 1)\).

Answer:

\(2b(4b + 1)\)