Answer: 4b(b-2)
Step-by-step explanation: The terms 4b^2 and -8b have two things in common: they are multiples of 4 and both have at least one b. Therefore, you can pull it out of the polynomial. This would give you 4b(b-2).
[tex]\bold{Answer}[/tex]
[tex]\boxed{\bold{4b^2 - 8b}}[/tex]
[tex]\bold{Explanation}[/tex]
[tex]\bold{----------------------}[/tex]
[tex]\bold{4bb-8b}[/tex]
[tex]\bold{4bb-4\cdot \:2b}[/tex]
[tex]\bold{4b\left(b-2\right)}[/tex]
[tex]\boxed{\bold{Eclipsed}}[/tex]