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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: 296. (page 551)

$(9 n^{4} + 6 n^{3}) \div 3 n$

Short Answer

Expert verified

$3 n^{3} + 2 n^{2}$

Step by step solution

01

Step 1

Rewrite the given expression as a fraction. $= \frac{9 n^{4} + 6 n^{3}}{3 n}$

02

Step 2

Divide every term by divisor and take care of sign. $= \frac{9 n^{4}}{3 n} + \frac{6 n^{3}}{3 n}$

03

Step 3

Simplify to obtain the final answer. $= 3 n^{3} + 2 n^{2}$

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