Respuesta :

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{Factor: \ 4b^2\:-\:8b}[/tex]

[tex]\bold{----------------------}[/tex]

  • [tex]\bold{Apply \ Exponent \ Rule \ (a^{b+c}=a^ba^c): \ b^2=bb}[/tex]

[tex]\bold{4bb-8b}[/tex]

  • [tex]\bold{Rewrite \ 8 \ As \ 4 \ * \ 2}[/tex]

[tex]\bold{4bb-4\cdot \:2b}[/tex]

  • [tex]\bold{Factor \ Out \ Common \ Term \ 4b}[/tex]

[tex]\bold{4b\left(b-2\right)}[/tex]

[tex]\boxed{\bold{Eclipsed}}[/tex]