## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

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

3;x≠−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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