Answer
$3n^2(2n-1)(n+3)$
Work Step by Step
$6n^4+15n^3-9n^2$
$=3n^2(2n^2)+3n^2(5n)-3n^2(3)$
$=3n^2(2n^2+5n-3)$
$=3n^2(2n^2+6n-n-3)$
$=3n^2[(2n^2-n)+(6n-3)]$
$=3n^2[n(2n-1)+3(2n-1)]$
$=3n^2(2n-1)(n+3)$
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.