Question

Factor the polynomial 4b^2 - 8b

Answer 1

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).

Answer 2

$\bold{Answer}$

$\boxed{\bold{4b^2 - 8b}}$

$\bold{Explanation}$

• $\bold{Factor: \ 4b^2\:-\:8b}$

$\bold{----------------------}$

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

$\bold{4bb-8b}$

• $\bold{Rewrite \ 8 \ As \ 4 \ * \ 2}$

$\bold{4bb-4\cdot \:2b}$

• $\bold{Factor \ Out \ Common \ Term \ 4b}$

$\bold{4b\left(b-2\right)}$

$\boxed{\bold{Eclipsed}}$