Answer
See explanations.
Work Step by Step
If the process involves the removing of the $xy$-term, the most time-consuming part would be to establish the rotation formulas and get the new equation without the $x'y'$-term.
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.