Q. 36 Multiply the rational聽 expressi... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 36 (page 652)

Multiply the rational expressions $\frac{z^{2} + 3 z}{z^{2} - 3 z - 4} 脳 \frac{z - 4}{z^{2}}$

Short Answer

Expert verified

Simplified form of the multiplied rational expressions $\frac{z^{2} + 3 z}{z^{2} - 3 z - 4} 脳 \frac{z - 4}{z^{2}} i s \frac{z + 3}{z (z + 1)}, z 鈮� - 1$

Step by step solution

. Given information

Given expressions are $\frac{z^{2} + 3 z}{z^{2} - 3 z - 4} a r e \frac{z - 4}{z^{2}} .$

We have to multiply the given rational expressions.

. Explanation of multiplying rational fractions

To multiply the given rational fraction , we need to factor numerator and denominator separately. After that multiply the numerators and denominators and divide out the common factors , then simplify the expressions.

. Multiplication of rational expressions

Here when we do the multiplication of the given rational expressions become, $\frac{z^{2} + 3 z}{z^{2} - 3 z - 4} 脳 \frac{z - 4}{z^{2}} = \frac{z (z + 3)}{(z - 4) (z + 1)} 脳 \frac{z - 4}{z^{2}}, f a c t o r t h e n u m e r a t o r a n d d e n o m i n a t o r = \frac{z (z + 3) 脳 (z - 4)}{(z - 4) (z + 1) 脳 z^{2}}, m u l t i p l y t h e n u m e r a t o r s a n d d e n o m i n a t o r s = \frac{(z + 3)}{z (z + 1)} d i v i d e o u t t h e c o m m o n f a c t o r s a n d s i m p l i f y = \frac{(z + 3)}{z (z + 1)}, z 鈮� - 1 t h i s i s t h e s i m p l i f i e d f o r m .$

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91影视

Multiply the rational expressions $\frac{z^{2} + 3 z}{z^{2} - 3 z - 4} 脳 \frac{z - 4}{z^{2}}$

Short Answer

Step by step solution

. Given information

. Explanation of multiplying rational fractions

. Multiplication of rational expressions

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91影视

Multiply the rational expressionsz2+3zz2-3z-4脳z-4z2

Short Answer

Step by step solution

. Given information

. Explanation of multiplying rational fractions

. Multiplication of rational expressions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Discrete Mathematics

Logic and Functions

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Multiply the rational expressions $\frac{z^{2} + 3 z}{z^{2} - 3 z - 4} 脳 \frac{z - 4}{z^{2}}$