Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 414: 27

Answer

$x+2$ (and $x\ne2$).

Work Step by Step

The product of a binomial sum and a binomial difference is: $(A+B)(A-B)=A^2-B^2$. Hence here: $\frac{x^2-4}{x-2}=\frac{x^2-2^2}{x-2}=\frac{(x+2)(x-2)}{x-2}=x+2$ (and $x\ne2$).
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