Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 52



Work Step by Step

$6x(x^{3}+7)^{2}-6x^{2}(3x^{2}+5)(x^{3}+7)$ greatest common factor=$6x(x^{3}+7)$ $=[6x(x^{3}+7)]\cdot(x^{3}+7)-[6x(x^{3}+7)]\cdot x(3x^{2}+5)$ $=6x(x^{3}+7)[(x^{3}+7)-x(3x^{2}+5)]$ $...$ simplify the expression in brackets $=6x(x^{3}+7)(x^{3}+7-3x^{3}-5x)$ $=6x(x^{3}+7)(-2x^{3}-5x+7)$
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