Answer
$(x+1)^{2}(x^{2}-x+1)^{2}$
Work Step by Step
We factor:
$x^{6}+2x^{3}+1=(x^{3}+1)(x^{3}+1)=(x^{3}+1)^{2}
=[(x+1)(x^{2}-x+1)]^{2}
=(x+1)^{2}(x^{2}-x+1)^{2}$
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.