Question

How do you factor `54r^3 - 45r^2 + 9r`?

Answer 1

Factor: `f(r) = 54r^3 - 45r^2 + 9r`

Explanation:

`f(r) = 7r(6r^2 - 5r + 1)`

Factor the trinomial in parentheses:

`(6r^2 - 3r - 2r + 1) = 3r(2r - 1) - (2r + 1) = (2r -1)(3r - 1)`

`f(r) = 7r(2r - 1)(3r - 1)`