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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 568 (page 1026)

Subtract Rational Expressions with Different Denominators In the following exercises, subtract and add.
$\frac{5}{12 x^{2} y} + \frac{7}{20 x y^{3}}$

Short Answer

Expert verified

$\frac{5}{12 x^{2} y} + \frac{7}{20 x y^{3}} = \frac{25 y^{2} + 21 x}{60 x^{2} y^{3}}$

Step by step solution

01

Step 1. Given information.

We have been given a rational expression $\frac{5}{12 x^{2} y} + \frac{7}{20 x y^{3}}$ .

We have to add this.

02

Step 2. Find the least common denominator (LCD).

Two denominators are:

$12 x^{2} y 20 x y^{3}$

The LCD will be $60 x^{2} y^{3}$ .

03

Step 3. Now add by making equal denominators.

$\frac{5}{12 x^{2} y} + \frac{7}{20 x y^{3}} = \frac{5 鈰� 5 y^{2}}{12 x^{2} y 鈰� 5 y^{2}} + \frac{7 鈰� 3 x}{20 x y^{3} 鈰� 3 x} = \frac{25 y^{2}}{60 x^{2} y^{3}} + \frac{21 x}{60 x^{2} y^{3}} = \frac{25 y^{2} + 21 x}{60 x^{2} y^{3}}$

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