Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator - Exercise Set: 12

Answer

$\dfrac{3y}{y^{2}+3y-10}-\dfrac{6}{y^{2}+3y-10}=\dfrac{3}{y+5}$

Work Step by Step

$\dfrac{3y}{y^{2}+3y-10}-\dfrac{6}{y^{2}+3y-10}$ Evaluate the substraction of the two rational expressions: $\dfrac{3y}{y^{2}+3y-10}-\dfrac{6}{y^{2}+3y-10}=\dfrac{3y-6}{y^{2}+3y-10}=...$ Factor the denominator and take out common factor $3$ from the numerator. Then, simplify: $...=\dfrac{3(y-2)}{(y+5)(y-2)}=\dfrac{3}{y+5}$
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