Question

Factor completely...................

Answer 1

Final answer is A.
`9(3x+1)(3x-2)`.

Explanation:

Given expression is
`81x^2-27x-18`.

`81x^2-27x-18`

`=9(9x^2-3x-2)`

We can factor that by splitting middle term into two parts then do grouping as shown below:

`=9(9x^2-6x+3x-2)`

`=9(3x(3x-2)+1(3x-2))`

`=9(3x+1)(3x-2)`

Which correctly matches with choice A.
`9(3x+1)(3x-2)`.

Hence final answer is A.
`9(3x+1)(3x-2)`.