Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.6 Factoring: A General Strategy - 5.6 Exercise Set: 79

Answer

$(1+4x^{6}y^{6})(1+2x^{3}y^{3})(1-2x^{3}y^{3})$

Work Step by Step

Using $a^2-b^2=(a+b)(a-b)$ or the factoring of the difference of $2$ squares, then the factored form of the given expression, $ 1-16x^{12}y^{12} $, is \begin{array}{l} (1+4x^{6}y^{6})(1-4x^{6}y^{6}) \\\\= (1+4x^{6}y^{6})(1+2x^{3}y^{3})(1-2x^{3}y^{3}) .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.