Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Practice: 6

Answer

$\frac{2}{x^2(x-2)}$

Work Step by Step

$\frac{10x+4}{x^2-4}\div\frac{5x^3+2x^2}{x+2}$ Step 1: Multiply by the reciprocal $\frac{10x+4}{x^2-4}\times\frac{x+2}{5x^3+2x^2}$ Step 2: Factor the common terms and multiply $\frac{(10x+4).(x+2)}{(x+2)(x-2).(5x^3+2x^2)}$ (Cancelling (x+2) from numerator and denominator) $\frac{2(5x+2)}{(x-2).x^2(5x+2)}$ (Cancelling (5x+2) from numerator and denominator) $\frac{2}{x^2(x-2)}$
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