Answer
$x^5(x-1)(x+1)$
Work Step by Step
We start by factoring out $x^5$:
$x^7-x^5=x^5(x^2-1)$
The polynomial $x^2-1$ is of the form $a^2+2ab+b^2=(a+b)^2$, which is a complete square. That is, we have
$$
x^7-x^5=x^5(x^2-1)=x^5(x-1)(x+1)
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A40: 101
Update this answer!
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.
