Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.5 - Rational Expressions - Exercises - Page 48: 24


$-\frac{4y}{5}$, $y\ne\frac{1}{2}$

Work Step by Step

$\frac{4y-8y^2}{10y-5}$ The denominator must be different from 0. $10y-5\ne0$ $10y\ne5$ $y\ne\frac{5}{10}$ $y\ne\frac{1}{2}$ $\frac{4y-8y^2}{10y-5}=\frac{-4y(-1)-4y(2y)}{5(2y)-5(1)}=\frac{-4y(2y-1)}{5(2y-1)}=-\frac{4y}{5}$
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