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 5.3 - Greatest Common Factors and Factoring by Grouping - Exercise Set: 21

Answer

$5x^n(3x^n-5)$

Work Step by Step

The greatest number that divides the numerical coefficients is 5. The variable raised to the smallest exponent is $x^{n}$ Thus, the greatest common factor is $5x^{n}$. Factor this out to obtain: $15x^{2n}-25x^n=5x^n(3x^n-5)$
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