Question

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

Answer 1

Answer:

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

Step-by-step 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. $9(3x+1)(3x-2)$.