Question

How do you simplify `(9b^6 - 6b^3 + 2)/(3b^3)`?

Answer 1

`3b^3 - 2 + (2b^-3)/3`

Explanation:

We can rewrite the expression as `(9b^6 - 6b^3)/(3b^3) + 2/(3b^3)`

We can factor the first fraction with `3b^3`, and cancel.

`(cancel(3b^3)(3b^3 - 2))/(cancel(3b^3)) = 3b^3 - 2`

`2/(3b^3) = 2 / 3 * b^-3 = (2b^-3)/3`

`3b^3 - 2 + (2b^-3)/3`