Q. 33 Multiply 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. 33 (page 652)

Multiply the rational expressions $\frac{5 p^{2}}{p^{2} - 5 p + 36} 脳 \frac{p^{2} - 16}{10 p} .$

Short Answer

Expert verified

Simplified form of multiplied rational expression $\frac{5 p^{2}}{p^{2} - 5 p + 36} 脳 \frac{p^{2} - 16}{10 p} i s \frac{p (p - 4)}{2 (p - 9)}, p 鈮� 9 .$

Step by step solution

. Given information

Given rational expressions are $\frac{5 p^{2}}{p^{2} - 5 p + 36} a n d \frac{p^{2} - 16}{10 p}$ .

We need to multiply these rational expressions.

. Explaining the multiplying of rational expressions

To multiply given expressions , factor numerator and denominator separately ,multiply the numerators and denominators and to simply divide out the common factors.

. Multiplications of rational expression

Multiplication of the given rational expressions is $\frac{5 p^{2}}{p^{2} - 5 p + 36} 脳 \frac{p^{2} - 16}{10 p} = \frac{5 p^{2}}{(p - 9) (p + 4)} 脳 \frac{(p - 4) (p + 4)}{10 p} f a c t o r t h e n u e m r a t o r s a n d d e n o m i n a t o r s, t h e n m u l t i p l y = \frac{5 p^{2} 脳 (p - 4) (p + 4)}{(p - 9) (p + 4) 脳 10 p} = \frac{p (p - 4)}{2 (p - 9)} \sin c e t o s i m p l i f y d i v i d e o u t t h e c o m m o n f a c t o r s = \frac{p (p - 4)}{2 (p - 9)}, p 鈮� 9 l e a v e t h e d e n o m i n a t o r i n t h e f a c t o r f o r m$

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91影视

Multiply the rational expressions $\frac{5 p^{2}}{p^{2} - 5 p + 36} 脳 \frac{p^{2} - 16}{10 p} .$

Short Answer

Step by step solution

. Given information

. Explaining the multiplying of rational expressions

. Multiplications of rational expression

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91影视

Multiply the rational expressions5p2p2-5p+36脳p2-1610p.

Short Answer

Step by step solution

. Given information

. Explaining the multiplying of rational expressions

. Multiplications of rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Geometry

Applied Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Multiply the rational expressions $\frac{5 p^{2}}{p^{2} - 5 p + 36} 脳 \frac{p^{2} - 16}{10 p} .$