Question

Factor the polynomial 4b^2 - 8b

Answer 1

`\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}}`

Answer 2

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).