Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Mid-Chapter Check Point - Page 381: 2


The standard form of the expression $3i\left( 2+i \right)$ is $-3+6i$.

Work Step by Step

Consider the expression, $3i\left( 2+i \right)$ Use the distributive property. $\begin{align} & 3i\left( 2+i \right)=3i\left( 2 \right)+3i\left( i \right) \\ & =6i+3{{i}^{2}} \end{align}$ Use the definition ${{i}^{2}}=-1$. $\begin{align} & 3i\left( 2+i \right)=6i+3\left( -1 \right) \\ & =-3+6i \end{align}$ Therefore, the standard form of the expression $3i\left( 2+i \right)$ is $-3+6i$.
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