3 years ago

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

Mathematics

1 answer:

defon3 years ago

3 0

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. $9(3x+1)(3x-2)$ .

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