Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

Chapter 1 - Section 1.4 - Rational Expressions - 1.4 Exercises: 5

(a) Yes (b) No

Work Step by Step

(a) $\frac{x(x+1)}{(x+1)^{2}}=\frac{x(x+1)}{(x+1)(x+1)}=\frac{x}{x+1}$ hence $\frac{x(x+1)}{(x+1)^{2}}=\frac{x}{x+1}$ is true. (b) $\sqrt (x^{2}+25)$ can not be simplified any further hence $\sqrt (x^{2}+25)\ne x+5$

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