Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.5 - Multiplying Polynomials - Exercise Set: 71

Answer

$(4x^{2}-25)$ yards$^{2}$

Work Step by Step

We know that the area of a rectangle is calculated as $length\times width$. We are given that the length of the rectangle is $(2x-5)$ yards and the width of the rectangle is $(2x+5)$ yards. Therefore, $Area=(2x-5)(2x+5)=2x(2x+5)-5(2x+5)=(2x)(2x)+(2x)(5)-5(2x)-5(5)=4x^{2}+10x-10x-25=(4x^{2}-25)$ yards$^{2}$.
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