Answer
$(a+4b)(a+8b)$
Work Step by Step
List the pairs of numbers whose product is 32.
1,32
2,16
4,8
Determine which pair sums to 12, since 12 is the coefficient of ab.
$4+8=12$
$a^2+12ab+32b^2=(a+4b)(a+8b)$
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.