Precalculus (6th Edition) Blitzer

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

Chapter 1 - Section 1.6 - Transformations of Functions - Exercise Set - Page 245: 156


The simplified form of the expression given is $2{{x}^{3}}+{{x}^{2}}-5x+2$.

Work Step by Step

Consider the given expression $\left( 2x-1 \right)\left( {{x}^{2}}+x-2 \right)$. Simplify the given product expression using the distributive property as below: $\begin{align} & \left( 2x-1 \right)\left( {{x}^{2}}+x-2 \right)=2x\left( {{x}^{2}}+x-2 \right)-1\left( {{x}^{2}}+x-2 \right) \\ & =2{{x}^{3}}+2{{x}^{2}}-4x-{{x}^{2}}-x+2 \\ & =2{{x}^{3}}+{{x}^{2}}-5x+2 \end{align}$ Hence, the simplified form is $2{{x}^{3}}+{{x}^{2}}-5x+2$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.