Question

Factor the following expression. Simplify your answer.
3s(s - 1)^1/3 + 2(s - 1)^4/3

Answer 1

5s^(4/3) + 3s - 2

Explanation:

Answer 2

`(s-1)(s+\frac{2{(s-1)}^(3)}{3})`

Explanation:

1) Use Rule of One:
`{x}^(1)=x`.

`3s* (s-1)/(3)+2* \frac{{(s-1)}^(4)}{3}`

2) Cancel 3.

`s(s-1)+2* \frac{{(s-1)}^(4)}{3}`

3) Simplify
`2* \frac{{(s-1)}^(4)}{3}` to
`\frac{2{(s-1)}^(4)}{3}`.

`s(s-1)+\frac{2{(s-1)}^(4)}{3}`

4) Factor out the common term s-1.

`(s-1)(s+\frac{2{(s-1)}^(3)}{3})`