Which expression is equivalent to `24g-12g^{2}+18g?`

answer choices:

6g(4-12g+18)

12g(2-12g+18)

6g(4-2g+3)

12g(2-g+3)

`24g-12g^{2}+18g` can be simplified as `6g(4-2g+3)` which is equivalent to `6g(4-2g+3)`.

Therefore, the correct answer choice is:
`6g(4-2g+3)`