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 - Page 347: 22

Answer

$3x^{2n}(4x^n-3)$

Work Step by Step

The greatest number that divides the numerical coefficients is 3. The variable raised to the smallest exponent is $x^{2n}$. Thus, the greatest common factor is $3x^{2n}$. Factor this out to obtain: $12x^{3n}-9x^{2n}=3x^{2n}(4x^n-3)$
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