Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator - Exercise Set - Page 507: 29

Answer

$1$

Work Step by Step

To subtract rational expressions with the same denominator, subtract numerators and place the difference over the common denominator. If possible, factor and simplify the result. --- Don't forget to place the second numerator in parentheses when subtracting. $\displaystyle \frac{14y}{7y+2}-\frac{7y-2}{7y+2}= \displaystyle \frac{14y-(7y-2)}{7y+2}$ $= \displaystyle \frac{14y-7y+2}{7y+2}$ $= \displaystyle \frac{7y+2}{7y+2}=1$
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