Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Review - Page 232: 31

Answer

$$4a^2-3a+1. $$

Work Step by Step

We simplify using the exponent rule: $\dfrac{x^a}{x^b}=x^{a-b}$ $$ \frac{36 a^{3}-27 a^{2}+9 a}{9 a}= \frac{36 a^{3} }{9 a}- \frac{ 27 a^{2} }{9 a}+\frac{ 9 a}{9 a}\\ =4a^2-3a+1. $$
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