Answer
$2a(x-3y)^{2}$
Work Step by Step
$2ax^{2}-12axy+18ay^{2}$
=$2ax^{2}-6axy-6axy+18ay^{2}$
=$2ax(x-3y)-6ay(x-3y)$
=$(x-3y)(2ax-6ay)$
=$(2ax-6ay)\times(x-3y)$
=$2a(x-3y)\times(x-3y)$
=$2a(x-3y)(x-3y)$
=$2a(x-3y)^{2}$
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.