Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1-5 - Cumulative Review - Page 372: 13



Work Step by Step

We normally multiply these expressions out using the distributive property, ensuring that every value multiplied by a given set of parenthesis is multiplied by everything inside of the parenthesis. However, in this problem, we use the fact that the binomial is squared as a shortcut to obtain: $$ \left(3x-5\right)^2\\ \left(3x\right)^2-2\cdot \:3x\cdot \:5+5^2\\ 9x^2-30x+25$$
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