Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set - Page 492: 50



Work Step by Step

Simplifying Rational Expressions 1. Factor the numerator and the denominator completely. 2. Divide both the numerator and the denominator by any common factors. --- Numerator: factor in pairs $x^{3}+4x^{2}-3x-12=x^{2}(x+4)-3(x+4)$ $=(x+4)(x^{2}-3)$ Denominator: fully factored. Expression = $\displaystyle \frac{(x+4)(x^{2}-3)}{(x+4)}$ ... divide both with the common factor: $(x+4)$ Expression = $\displaystyle \frac{x^{2}-3}{1}$ = $x^{2}-3$
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