Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.4 - Rational Expressions - 1.4 Exercises - Page 42: 4


A) 3 terms B) $x(x+1)^{2}$ C) $-\frac{2x^2+1}{x(x+1)^{2}}$

Work Step by Step

A) Terms are those that are separated by a + or - sign. In this case there are 3 terms. B) The common denominator is $x(x+1)^{2}$ C) $$\frac{(1(x+1)^{2}-2x(x+1)-x(x))^{2}}{x(x+1)^{2}}$$ $$\frac{x^{2}+2x+1-2x^2-2x-x^{2}}{x(x+1)^{2}}$$ $$-\frac{2x^2+1}{x(x+1)^{2}}$$
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