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: 26

Answer

$\frac{x-2}{x+1},x\ne-1, x\ne-10$

Work Step by Step

$\frac{x^2+8x-20}{x^2+11x+10}$ (factor both numerator and denominator, Also $x\ne-1, x\ne-10$ to keep the denominator non-zero) =$\frac{(x-2)(x+10)}{(x+1)(x+10)}$ (Dividing both numerator and denominator by x+10) =$\frac{x-2}{x+1},x\ne-1, x\ne-10$
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