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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: 301. (page 551)

$\frac{72 r^{5} s^{2} + 13 r^{4} s^{3} - 96 r^{3} s^{5}}{12 r^{2} s^{2}}$

Short Answer

Expert verified

$6 r^{3} + 11 r^{2} s - 8 r s^{3}$

Step by step solution

01

Step 1

Divide every term by divisor and take care of sign.

$= \frac{72 r^{5} s^{2}}{12 s^{2} r^{2}} + \frac{132 r^{4} s^{3}}{12 r^{2} s^{2}} - \frac{96 r^{3} s^{5}}{12 r^{2} s^{2}}$

02

Step 2

Simplify to obtain the final answer.

= $6 r^{3} + 11 r^{2} s - 8 r s^{3}$

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