Factor the common factor from the expression:

x^1/3; x^10/3 + x^1/3

common factor cbrt x

Please clarify -

what is cbrt

come on, ty. you're dealing with 1/3 powers. That's the cube root. (cbrt)

To factor the common factor from the expression x^(1/3), we need to find a term that can divide both x^(1/3) and the other term, x^(10/3) + x^(1/3).

In this case, the common factor is x^(1/3). We can factor it out by dividing both terms by x^(1/3).

Dividing x^(1/3) by x^(1/3) gives us 1, and dividing x^(10/3) by x^(1/3) gives us x^(10/3 - 1/3) = x^(9/3) = x^3.

We can then rewrite the expression as:

x^(1/3) * (1 + x^3).

Therefore, the expression x^(10/3) + x^(1/3) can be factored as x^(1/3) * (1 + x^3).