Answer
$3x(4x-1)(x-2)$
Work Step by Step
$12x^2y-27xy+6y=3y(4x^2-9x+2)=3x(4x^2-x-8x+2)=3x(x(4x-1)-2(4x-1))=3x(4x-1)(x-2)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.