Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - Cumulative Test Prep - Multiple Choice - Page 709: 3

Answer

$\frac{-6x-10}{(x+4)(x-3)}$

Work Step by Step

$\frac{x+2}{x+4} - \frac{x+1}{x-3}$ $\frac{(x+2)}{(x+4)}*(x-3)/(x-3) - \frac{(x+1)}{(x-3)}*(x+4)/(x+4)$ $\frac{(x+2)(x-3)}{(x+4)(x-3)}- \frac{(x+1)(x+4)}{(x-3)(x+4)}$ $\frac{(x^2-x-6)}{(x+4)(x-3)}- \frac{(x^2+5x+4)}{(x-3)(x+4)}$ $\frac{(x^2-x-6)-x^2-5x-4}{(x+4)(x-3)}$ $\frac{-6x-10}{(x+4)(x-3)}$
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