Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 102


$A=(x^4+16x^2+64)\text{ square units}$

Work Step by Step

Using $A=s^2$, the area of the square with side measurement equal to $ (x^2+8) $ is \begin{array}{l}\require{cancel} A=(x^2+8)^2 .\end{array} Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the expression above is equivalent to \begin{array}{l}\require{cancel} A=(x^2)^2+2(x^2)(8)+(8)^2 \\\\ A=x^4+16x^2+64 \\\\ A=(x^4+16x^2+64)\text{ square units} .\end{array}
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