Answer
$45-4x^2$
Work Step by Step
Use the special product: sum and difference of same terms (see page 28):
$(3\sqrt 5+2x)(3\sqrt 5-2x)=(3\sqrt 5)^2-(2x)^2=3^2(\sqrt 5)^2-4x^2=9(5)-4x^2=45-4x^2$
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.