Q . 26 Simplify the rational expression... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q . 26 (page 651)

Simplify the rational expression $\frac{v^{3} + 125}{v^{2} - 25}$

Short Answer

Expert verified

Simplified form of the rational expression $\frac{v^{3} + 125}{v^{2} - 25} i s \frac{v^{2} - 5 v + 25)}{v - 5}, v 鈮� 5$

Step by step solution

. Given information

Here given rational expression is $\frac{v^{3} + 125}{v^{2} - 25} .$ We need to simplify the given rational expression.

. Simplification of rational expression

To simplify the rational expression $\frac{v^{3} + 125}{v^{2} - 25}$ first we need to factor the numerator and denominator and divide out common factor. Thus given expression $\frac{v^{3} + 125}{v^{2} - 25} = \frac{(v + 5) (v^{2} - 5 v + 25)}{(v + 5) (v - 5)}, \sin c e v^{3} + 125 i s i n t h e f o r m o f a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2}) . = \frac{(v^{2} - 5 v + 25)}{(v - 5)}, v 鈮� 5, h e r e (v + 5) i s c o m m o n f a c t o r s o d i v i d e o u t$

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91影视

Simplify the rational expression $\frac{v^{3} + 125}{v^{2} - 25}$

Short Answer

Step by step solution

. Given information

. Simplification of rational expression

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91影视

Simplify the rational expressionv3+125v2-25

Short Answer

Step by step solution

. Given information

. Simplification of rational expression

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

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Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{v^{3} + 125}{v^{2} - 25}$