Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - Chapter Review - Page 716: 12



Work Step by Step

$\frac{a^2+5a+4}{a^3}\div\frac{a^2+3a+2}{a^2-2a}$ $=\frac{(a+1)(a+4)}{a^3}\div\frac{(a+1)(a+2)}{a(a-2)}$ $=\frac{(a+1)(a+4)}{a^3}\times\frac{a(a-2)}{(a+1)(a+2)}$ $=\frac{a(a+1)(a+4)(a-2)}{a^3(a+1)(a+2)}$ $=\frac{(a+4)(a-2)}{a^2(a+2)}$
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