Answer
$2x^{1/2}(3x-4)(x+1)$
Work Step by Step
We simplify:
$6x^{1/2}(x^{2}+x)-8x^{3/2}-8x^{1/2}
=2x^{1/2}(3(x^{2}+x)-4x-4)
=2x^{1/2}(3x^{2}+3x-4x-4)
=2x^{1/2}(3x^{2}-x-4)
=2x^{1/2}(3x-4)(x+1)$
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: 103
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