Question

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

Answer 1

Explanation:

`3s\sqrt[3]{s-1} + 2 \sqrt[4/3]{s-1} =\\3s\sqrt[3]{s-1} + 2 \sqrt[1/3]{(s-1)^4} =\\3s\sqrt[3]{s-1} + 2 (s-1)\sqrt[1/3]{s-1} =\\\sqrt[3]{s-1}*(3s + 2 (s-1)) =\\\sqrt[3]{s-1}*(3s + 2s-2)) =\\\sqrt[3]{s-1}*(5s -2) \\`

Answer 2

Answer: (s-1)^1/3 (5s-2)