Algebra 1

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

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

Answer

$3; x \ne -3$

Work Step by Step

In order to simplify this expression, we need the same thing in the numerator and the denominator. Thus, we factor out a 3 in the numerator to obtain: $3(x+3)/(x+3)$. We now have the same thing, x+3, in the numerator and the denominator, so we can cancel it out, leaving us with the number 3. (Note, in the answer x cannot equal -3 as x+3 is in the denominator of the original expression, meaning that if x=-3, 0 would be in the denominator, which is not allowed.)
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