Elementary Technical Mathematics

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

Chapter 16 - Cumulative Review - Page 568: 5


The solution of $\left( 2{{a}^{2}}-5a+6 \right)-\left( -2{{a}^{2}}+6a-7 \right)+\left( 3{{a}^{2}}-7a-2 \right)$ is $7{{a}^{2}}-18a+11$.

Work Step by Step

Solve the brackets first, $\begin{align} & \left( 2{{a}^{2}}-5a+6 \right)-\left( -2{{a}^{2}}+6a-7 \right)+\left( 3{{a}^{2}}-7a-2 \right)=2{{a}^{2}}-5a+6-\left( -2{{a}^{2}} \right)-6a-\left( -7 \right)+3{{a}^{2}}-7a-2 \\ & =2{{a}^{2}}-5a+6+2{{a}^{2}}-6a+7+3{{a}^{2}}-7a-2 \end{align}$ Solve further, $\begin{align} & \left( 2{{a}^{2}}-5a+6 \right)-\left( -2{{a}^{2}}+6a-7 \right)+\left( 3{{a}^{2}}-7a-2 \right)=2{{a}^{2}}+2{{a}^{2}}+3{{a}^{2}}-5a-6a-7a+6+7-2 \\ & =7{{a}^{2}}-18a+11 \end{align}$
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