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 4 - Polynomials - 4.5 Multiplication of Polynomials - 4.5 Exercise Set - Page 269: 83

Answer

$$75y^2-45y$$

Work Step by Step

We know the following equation for the area of the shaded region: $$ A_{shaded}=\text{Overall Area} - \text{ Area Not Shaded}$$ Using this, we find: $$ A=(14y-5)(6y)-(3y(3y+5))\\ A=84y^2-30y-9y^2-15y\\ A=75y^2-45y$$
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