Answer
$x^{2}+8xy+16y^{2}$
Work Step by Step
$(x+4y)^{2}$
$=(x+4y)(x+4y)$
$=x(x+4y)+4y(x+4y)$
$=x^{2}+4xy+4xy+16y^{2}$
$=x^{2}+8xy+16y^{2}$
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.