## College Algebra 7th Edition

Published by Brooks Cole

# Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises: 81

#### Answer

$(2x+y)^2$

#### Work Step by Step

RECALL: A perfect square trinomial can be factored using either of the following formulas: (i) $A^2-2AB+B^2=(A-B)^2$ (ii) $A^2+2AB+B^2=(A+B)^2$ The given trinomial can be written as: $=(2x)^2+2(2x)(y)+y^2$ The trinomial is a perfect square. Factor using formula (ii) above with $A=2x$ and $B=y$ to obtain: $=(2x+y)^2$

After 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.