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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. 32 (page 652)

Multiply the rational expression $\frac{12 a^{3} b}{b^{2}} 脳 \frac{2 a b^{2}}{9 b^{3}}$

Short Answer

Expert verified

simplified form the multiplied rational expressions $\frac{12 a^{3} b}{b^{2}} 脳 \frac{2 a b^{2}}{9 b^{3}} i s \frac{8 a^{4}}{3 b^{2}} .$

Step by step solution

01

. Given information

Given rational expression are $\frac{12 a^{3} b}{b^{2}} a n d \frac{2 a b^{2}}{9 b^{3}}$ .

We have to multiply the given rational expressions

02

. Multiplication of rational expressions

To multiply the rational expressions ,first multiply the numerators and denominators and then simplify by dividing out the common factors. Thus multiplication of the given rational expressions $\frac{12 a^{3} b}{b^{2}} 脳 \frac{2 a b^{2}}{9 b^{3}} = \frac{12 a^{3} b 脳 2 a b^{2}}{b^{2} 脳 9 b^{3}} = \frac{8 a^{4}}{3 b^{2}} d i v i d e o u t t h e c o m m o n f a c t o r s$

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Most popular questions from this chapter

Determine the values for which the rational expression is undefined.

$\frac{5 x^{2} y^{2}}{8 y}$

In the following exercises, solve each rational inequality and write the solution in interval notation.

$\frac{5}{(x - 1)} 鈮� \frac{4}{(x + 2)}$

In the following exercises, divide the rational expressions.

$\frac{v - 5}{11 - v} 梅 \frac{v^{2} - 25}{v - 11}$

Simplify the complex rational expression by writing it as division:

$\frac{\frac{1}{x^{2} - 7 x + 12}}{\frac{2}{x - 4}}$

Simplify the rational expression $\frac{12 p - 240}{5 p - 100} .$

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