Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.5 - Factoring Special Forms - Exercise Set: 33

Answer

$5y(1-xy^3)(1+xy^3)$

Work Step by Step

RECALL: A difference of two squares can be factored using the formula: $m^2-n^2=(m-n)(m+n)$ Factor out the greatest common factor, $5y$, to obtain: $=5y(1-x^2y^6) \\=5y[1^2-(xy^3)^2]$ The binomial is a difference of two squares. Factor the given difference of two squares using the formula above with $m=1$ and $n=xy^3$ to obtain: $=5y(1-xy^3)(1+xy^3)$
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.