Answer
$2x(3x+4)^{1/3}(5x+4)
=2x\sqrt[3]{3x+4}(5x+4)$
Work Step by Step
We simplify:
$2x(3x+4)^{4/3}+x^{2}\cdot 4(3x+4)^{1/3}
=2x(3x+4)^{1/3}[(3x+4)^{3/3}+2x]
=2x(3x+4)^{1/3}[(3x+4)+2x]
=2x(3x+4)^{1/3}(5x+4)
=2x\sqrt[3]{3x+4}(5x+4)$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 80: 106
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