Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-1 Simplifying Rational Expressions - Lesson Check - Page 667: 2


-1/(x+3); x cannot equal 5 or -3

Work Step by Step

In order to simplify this expression, we need something to be in the numerator and the denominator of the fraction so it can be canceled out. Therefore, we factor and obtain: $(-1)(x-5)/(x-5)(x+3) \\\\ (-1)/(x+3)$ x cannot equal 5 or -3, for if this were the case, the denominator of the fraction would cancel out to 0, which is not allowed.
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