Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Review Exercises - Page 415: 40


$$x^{4} + 8x^{2} + 16$$

Work Step by Step

First, we expand the expression to be able to see the terms clearly. $$(x^{2} + 4)(x^{2} + 4)$$ We will be using the FOIL method to simplify this expression. Multiply each of the terms within the first set of parentheses with each of the terms in the second set of parentheses: $$x^{4} + 4x^{2} + 4x^{2} + 16$$ Combine like terms: $$x^{4} + 8x^{2} + 16$$
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